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Finding the Fourth Proportional to 30,517.65, 45,799.92 and 13,655.88

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Solution

The fourth proportional to 30,517.65, 45,799.92 and 13,655.88 is: 20,494.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,517.65 : 45,799.92 = 13,655.88 : x
  2. Step 2: Convert to fraction form
    30,517.65/45,799.92 = 13,655.88/x
  3. Step 3: Cross multiply
    30,517.65x = 45,799.92 × 13,655.88
  4. Step 4: Simplify right side
    30,517.65x = 625,438,211.53
  5. Step 5: Solve for x
    x = 625,438,211.53/30,517.65
  6. Step 6: Final answer
    x = 20,494.31

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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.