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Finding the Fourth Proportional to 31,149.90, 42,986.43 and 17,001.90

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Solution

The fourth proportional to 31,149.90, 42,986.43 and 17,001.90 is: 23,462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,149.90 : 42,986.43 = 17,001.90 : x
  2. Step 2: Convert to fraction form
    31,149.90/42,986.43 = 17,001.90/x
  3. Step 3: Cross multiply
    31,149.90x = 42,986.43 × 17,001.90
  4. Step 4: Simplify right side
    31,149.90x = 730,850,984.22
  5. Step 5: Solve for x
    x = 730,850,984.22/31,149.90
  6. Step 6: Final answer
    x = 23,462.39

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1.5x scale

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.