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Finding the Fourth Proportional to 9,966.30, 15,144.24 and 9,966.30

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Solution

The fourth proportional to 9,966.30, 15,144.24 and 9,966.30 is: 15,144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.30 : 15,144.24 = 9,966.30 : x
  2. Step 2: Convert to fraction form
    9,966.30/15,144.24 = 9,966.30/x
  3. Step 3: Cross multiply
    9,966.30x = 15,144.24 × 9,966.30
  4. Step 4: Simplify right side
    9,966.30x = 150,932,039.11
  5. Step 5: Solve for x
    x = 150,932,039.11/9,966.30
  6. Step 6: Final answer
    x = 15,144.24

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.