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Finding the Fourth Proportional to 31,149.26, 42,986.03 and 17,002.11

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Solution

The fourth proportional to 31,149.26, 42,986.03 and 17,002.11 is: 23,462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,149.26 : 42,986.03 = 17,002.11 : x
  2. Step 2: Convert to fraction form
    31,149.26/42,986.03 = 17,002.11/x
  3. Step 3: Cross multiply
    31,149.26x = 42,986.03 × 17,002.11
  4. Step 4: Simplify right side
    31,149.26x = 730,853,125.51
  5. Step 5: Solve for x
    x = 730,853,125.51/31,149.26
  6. Step 6: Final answer
    x = 23,462.94

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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.