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Finding the Fourth Proportional to 25,691.40, 38,539.08 and 9,904.20

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Solution

The fourth proportional to 25,691.40, 38,539.08 and 9,904.20 is: 14,857.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,691.40 : 38,539.08 = 9,904.20 : x
  2. Step 2: Convert to fraction form
    25,691.40/38,539.08 = 9,904.20/x
  3. Step 3: Cross multiply
    25,691.40x = 38,539.08 × 9,904.20
  4. Step 4: Simplify right side
    25,691.40x = 381,698,756.14
  5. Step 5: Solve for x
    x = 381,698,756.14/25,691.40
  6. Step 6: Final answer
    x = 14,857.06

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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.