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Finding the Fourth Proportional to 31,878.64, 47,817.96 and 8,505.16

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Solution

The fourth proportional to 31,878.64, 47,817.96 and 8,505.16 is: 12,757.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,878.64 : 47,817.96 = 8,505.16 : x
  2. Step 2: Convert to fraction form
    31,878.64/47,817.96 = 8,505.16/x
  3. Step 3: Cross multiply
    31,878.64x = 47,817.96 × 8,505.16
  4. Step 4: Simplify right side
    31,878.64x = 406,699,400.67
  5. Step 5: Solve for x
    x = 406,699,400.67/31,878.64
  6. Step 6: Final answer
    x = 12,757.74

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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.