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Finding the Fourth Proportional to 15,175.91, 22,770.43 and 8,147.72

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Solution

The fourth proportional to 15,175.91, 22,770.43 and 8,147.72 is: 12,225.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.91 : 22,770.43 = 8,147.72 : x
  2. Step 2: Convert to fraction form
    15,175.91/22,770.43 = 8,147.72/x
  3. Step 3: Cross multiply
    15,175.91x = 22,770.43 × 8,147.72
  4. Step 4: Simplify right side
    15,175.91x = 185,527,047.18
  5. Step 5: Solve for x
    x = 185,527,047.18/15,175.91
  6. Step 6: Final answer
    x = 12,225.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.