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Finding the Fourth Proportional to 15,381, 23,071.50 and 5,520.88

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Solution

The fourth proportional to 15,381, 23,071.50 and 5,520.88 is: 8,281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,381 : 23,071.50 = 5,520.88 : x
  2. Step 2: Convert to fraction form
    15,381/23,071.50 = 5,520.88/x
  3. Step 3: Cross multiply
    15,381x = 23,071.50 × 5,520.88
  4. Step 4: Simplify right side
    15,381x = 127,374,982.92
  5. Step 5: Solve for x
    x = 127,374,982.92/15,381
  6. Step 6: Final answer
    x = 8,281.32

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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.