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Finding the Fourth Proportional to 10,665.40, 15,998.10 and 7,166.20

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Solution

The fourth proportional to 10,665.40, 15,998.10 and 7,166.20 is: 10,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.40 : 15,998.10 = 7,166.20 : x
  2. Step 2: Convert to fraction form
    10,665.40/15,998.10 = 7,166.20/x
  3. Step 3: Cross multiply
    10,665.40x = 15,998.10 × 7,166.20
  4. Step 4: Simplify right side
    10,665.40x = 114,645,584.22
  5. Step 5: Solve for x
    x = 114,645,584.22/10,665.40
  6. Step 6: Final answer
    x = 10,749.30

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.