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Finding the Fourth Proportional to 25,680, 38,458.08 and 12,499.68

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Solution

The fourth proportional to 25,680, 38,458.08 and 12,499.68 is: 18,719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,680 : 38,458.08 = 12,499.68 : x
  2. Step 2: Convert to fraction form
    25,680/38,458.08 = 12,499.68/x
  3. Step 3: Cross multiply
    25,680x = 38,458.08 × 12,499.68
  4. Step 4: Simplify right side
    25,680x = 480,713,693.41
  5. Step 5: Solve for x
    x = 480,713,693.41/25,680
  6. Step 6: Final answer
    x = 18,719.38

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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.