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Finding the Fourth Proportional to 18,253.92, 27,385.16 and 7,724.88

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Solution

The fourth proportional to 18,253.92, 27,385.16 and 7,724.88 is: 11,589.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,253.92 : 27,385.16 = 7,724.88 : x
  2. Step 2: Convert to fraction form
    18,253.92/27,385.16 = 7,724.88/x
  3. Step 3: Cross multiply
    18,253.92x = 27,385.16 × 7,724.88
  4. Step 4: Simplify right side
    18,253.92x = 211,547,074.78
  5. Step 5: Solve for x
    x = 211,547,074.78/18,253.92
  6. Step 6: Final answer
    x = 11,589.13

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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.