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Finding the Fourth Proportional to 25,280, 37,937.28 and 8,864

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Solution

The fourth proportional to 25,280, 37,937.28 and 8,864 is: 13,302.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,280 : 37,937.28 = 8,864 : x
  2. Step 2: Convert to fraction form
    25,280/37,937.28 = 8,864/x
  3. Step 3: Cross multiply
    25,280x = 37,937.28 × 8,864
  4. Step 4: Simplify right side
    25,280x = 336,276,049.92
  5. Step 5: Solve for x
    x = 336,276,049.92/25,280
  6. Step 6: Final answer
    x = 13,302.06

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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.