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Finding the Fourth Proportional to 12,287.28, 18,429.04 and 3,966.16

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Solution

The fourth proportional to 12,287.28, 18,429.04 and 3,966.16 is: 5,948.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.28 : 18,429.04 = 3,966.16 : x
  2. Step 2: Convert to fraction form
    12,287.28/18,429.04 = 3,966.16/x
  3. Step 3: Cross multiply
    12,287.28x = 18,429.04 × 3,966.16
  4. Step 4: Simplify right side
    12,287.28x = 73,092,521.29
  5. Step 5: Solve for x
    x = 73,092,521.29/12,287.28
  6. Step 6: Final answer
    x = 5,948.63

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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.