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Finding the Fourth Proportional to 15,144.72, 22,720.72 and 6,382.14

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Solution

The fourth proportional to 15,144.72, 22,720.72 and 6,382.14 is: 9,574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,144.72 : 22,720.72 = 6,382.14 : x
  2. Step 2: Convert to fraction form
    15,144.72/22,720.72 = 6,382.14/x
  3. Step 3: Cross multiply
    15,144.72x = 22,720.72 × 6,382.14
  4. Step 4: Simplify right side
    15,144.72x = 145,006,815.94
  5. Step 5: Solve for x
    x = 145,006,815.94/15,144.72
  6. Step 6: Final answer
    x = 9,574.74

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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.