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Finding the Fourth Proportional to 31,531.70, 47,291.87 and 8,156.72

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Solution

The fourth proportional to 31,531.70, 47,291.87 and 8,156.72 is: 12,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,531.70 : 47,291.87 = 8,156.72 : x
  2. Step 2: Convert to fraction form
    31,531.70/47,291.87 = 8,156.72/x
  3. Step 3: Cross multiply
    31,531.70x = 47,291.87 × 8,156.72
  4. Step 4: Simplify right side
    31,531.70x = 385,746,264.62
  5. Step 5: Solve for x
    x = 385,746,264.62/31,531.70
  6. Step 6: Final answer
    x = 12,233.60

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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.