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Finding the Fourth Proportional to 25,456.92, 38,178 and 10,665.42

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Solution

The fourth proportional to 25,456.92, 38,178 and 10,665.42 is: 15,995.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,456.92 : 38,178 = 10,665.42 : x
  2. Step 2: Convert to fraction form
    25,456.92/38,178 = 10,665.42/x
  3. Step 3: Cross multiply
    25,456.92x = 38,178 × 10,665.42
  4. Step 4: Simplify right side
    25,456.92x = 407,184,404.76
  5. Step 5: Solve for x
    x = 407,184,404.76/25,456.92
  6. Step 6: Final answer
    x = 15,995.04

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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.