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Finding the Fourth Proportional to 10,388.78, 15,574.49 and 4,839.27

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Solution

The fourth proportional to 10,388.78, 15,574.49 and 4,839.27 is: 7,254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.78 : 15,574.49 = 4,839.27 : x
  2. Step 2: Convert to fraction form
    10,388.78/15,574.49 = 4,839.27/x
  3. Step 3: Cross multiply
    10,388.78x = 15,574.49 × 4,839.27
  4. Step 4: Simplify right side
    10,388.78x = 75,369,084.35
  5. Step 5: Solve for x
    x = 75,369,084.35/10,388.78
  6. Step 6: Final answer
    x = 7,254.85

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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.