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Finding the Fourth Proportional to 31,001, 42,782.34 and 17,753

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Solution

The fourth proportional to 31,001, 42,782.34 and 17,753 is: 24,499.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,001 : 42,782.34 = 17,753 : x
  2. Step 2: Convert to fraction form
    31,001/42,782.34 = 17,753/x
  3. Step 3: Cross multiply
    31,001x = 42,782.34 × 17,753
  4. Step 4: Simplify right side
    31,001x = 759,514,882.02
  5. Step 5: Solve for x
    x = 759,514,882.02/31,001
  6. Step 6: Final answer
    x = 24,499.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.