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Finding the Fourth Proportional to 34,405.80, 51,608.70 and 13,629.30

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Solution

The fourth proportional to 34,405.80, 51,608.70 and 13,629.30 is: 20,443.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,405.80 : 51,608.70 = 13,629.30 : x
  2. Step 2: Convert to fraction form
    34,405.80/51,608.70 = 13,629.30/x
  3. Step 3: Cross multiply
    34,405.80x = 51,608.70 × 13,629.30
  4. Step 4: Simplify right side
    34,405.80x = 703,390,454.91
  5. Step 5: Solve for x
    x = 703,390,454.91/34,405.80
  6. Step 6: Final answer
    x = 20,443.95

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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.