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Finding the Fourth Proportional to 25,830.49, 38,762.78 and 9,414.49

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Solution

The fourth proportional to 25,830.49, 38,762.78 and 9,414.49 is: 14,127.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,830.49 : 38,762.78 = 9,414.49 : x
  2. Step 2: Convert to fraction form
    25,830.49/38,762.78 = 9,414.49/x
  3. Step 3: Cross multiply
    25,830.49x = 38,762.78 × 9,414.49
  4. Step 4: Simplify right side
    25,830.49x = 364,931,757.61
  5. Step 5: Solve for x
    x = 364,931,757.61/25,830.49
  6. Step 6: Final answer
    x = 14,127.95

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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.