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Finding the Fourth Proportional to 25,397.56, 38,103.90 and 7,868.68

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Solution

The fourth proportional to 25,397.56, 38,103.90 and 7,868.68 is: 11,805.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,397.56 : 38,103.90 = 7,868.68 : x
  2. Step 2: Convert to fraction form
    25,397.56/38,103.90 = 7,868.68/x
  3. Step 3: Cross multiply
    25,397.56x = 38,103.90 × 7,868.68
  4. Step 4: Simplify right side
    25,397.56x = 299,827,395.85
  5. Step 5: Solve for x
    x = 299,827,395.85/25,397.56
  6. Step 6: Final answer
    x = 11,805.36

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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.