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Finding the Fourth Proportional to 15,172, 22,761.20 and 4,642.88

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Solution

The fourth proportional to 15,172, 22,761.20 and 4,642.88 is: 6,965.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,172 : 22,761.20 = 4,642.88 : x
  2. Step 2: Convert to fraction form
    15,172/22,761.20 = 4,642.88/x
  3. Step 3: Cross multiply
    15,172x = 22,761.20 × 4,642.88
  4. Step 4: Simplify right side
    15,172x = 105,677,520.26
  5. Step 5: Solve for x
    x = 105,677,520.26/15,172
  6. Step 6: Final answer
    x = 6,965.30

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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.