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Finding the Fourth Proportional to 7,070.75, 10,606.13 and 2,140.28

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Solution

The fourth proportional to 7,070.75, 10,606.13 and 2,140.28 is: 3,210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.75 : 10,606.13 = 2,140.28 : x
  2. Step 2: Convert to fraction form
    7,070.75/10,606.13 = 2,140.28/x
  3. Step 3: Cross multiply
    7,070.75x = 10,606.13 × 2,140.28
  4. Step 4: Simplify right side
    7,070.75x = 22,700,087.92
  5. Step 5: Solve for x
    x = 22,700,087.92/7,070.75
  6. Step 6: Final answer
    x = 3,210.42

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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.