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Finding the Fourth Proportional to 15,142.92, 22,719.04 and 7,752.57

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Solution

The fourth proportional to 15,142.92, 22,719.04 and 7,752.57 is: 11,631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.92 : 22,719.04 = 7,752.57 : x
  2. Step 2: Convert to fraction form
    15,142.92/22,719.04 = 7,752.57/x
  3. Step 3: Cross multiply
    15,142.92x = 22,719.04 × 7,752.57
  4. Step 4: Simplify right side
    15,142.92x = 176,130,909.17
  5. Step 5: Solve for x
    x = 176,130,909.17/15,142.92
  6. Step 6: Final answer
    x = 11,631.24

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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.