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Finding the Fourth Proportional to 31,878.99, 47,816.87 and 9,691.88

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Solution

The fourth proportional to 31,878.99, 47,816.87 and 9,691.88 is: 14,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,878.99 : 47,816.87 = 9,691.88 : x
  2. Step 2: Convert to fraction form
    31,878.99/47,816.87 = 9,691.88/x
  3. Step 3: Cross multiply
    31,878.99x = 47,816.87 × 9,691.88
  4. Step 4: Simplify right side
    31,878.99x = 463,435,078.47
  5. Step 5: Solve for x
    x = 463,435,078.47/31,878.99
  6. Step 6: Final answer
    x = 14,537.32

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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.