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Finding the Fourth Proportional to 8,203.20, 11,871.60 and 8,203.20

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Solution

The fourth proportional to 8,203.20, 11,871.60 and 8,203.20 is: 11,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.20 : 11,871.60 = 8,203.20 : x
  2. Step 2: Convert to fraction form
    8,203.20/11,871.60 = 8,203.20/x
  3. Step 3: Cross multiply
    8,203.20x = 11,871.60 × 8,203.20
  4. Step 4: Simplify right side
    8,203.20x = 97,385,109.12
  5. Step 5: Solve for x
    x = 97,385,109.12/8,203.20
  6. Step 6: Final answer
    x = 11,871.60

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.