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Finding the Fourth Proportional to 31,893.61, 47,809.17 and 11,888.47

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Solution

The fourth proportional to 31,893.61, 47,809.17 and 11,888.47 is: 17,821.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,893.61 : 47,809.17 = 11,888.47 : x
  2. Step 2: Convert to fraction form
    31,893.61/47,809.17 = 11,888.47/x
  3. Step 3: Cross multiply
    31,893.61x = 47,809.17 × 11,888.47
  4. Step 4: Simplify right side
    31,893.61x = 568,377,883.27
  5. Step 5: Solve for x
    x = 568,377,883.27/31,893.61
  6. Step 6: Final answer
    x = 17,821.06

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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.