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Finding the Fourth Proportional to 25,672, 38,396.80 and 15,116.88

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Solution

The fourth proportional to 25,672, 38,396.80 and 15,116.88 is: 22,609.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,672 : 38,396.80 = 15,116.88 : x
  2. Step 2: Convert to fraction form
    25,672/38,396.80 = 15,116.88/x
  3. Step 3: Cross multiply
    25,672x = 38,396.80 × 15,116.88
  4. Step 4: Simplify right side
    25,672x = 580,439,817.98
  5. Step 5: Solve for x
    x = 580,439,817.98/25,672
  6. Step 6: Final answer
    x = 22,609.84

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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.