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Finding the Fourth Proportional to 34,169.40, 51,229.80 and 13,101.30

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Solution

The fourth proportional to 34,169.40, 51,229.80 and 13,101.30 is: 19,642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,169.40 : 51,229.80 = 13,101.30 : x
  2. Step 2: Convert to fraction form
    34,169.40/51,229.80 = 13,101.30/x
  3. Step 3: Cross multiply
    34,169.40x = 51,229.80 × 13,101.30
  4. Step 4: Simplify right side
    34,169.40x = 671,176,978.74
  5. Step 5: Solve for x
    x = 671,176,978.74/34,169.40
  6. Step 6: Final answer
    x = 19,642.63

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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.