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Finding the Fourth Proportional to 13,129.80, 19,694.70 and 9,424.20

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Solution

The fourth proportional to 13,129.80, 19,694.70 and 9,424.20 is: 14,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.80 : 19,694.70 = 9,424.20 : x
  2. Step 2: Convert to fraction form
    13,129.80/19,694.70 = 9,424.20/x
  3. Step 3: Cross multiply
    13,129.80x = 19,694.70 × 9,424.20
  4. Step 4: Simplify right side
    13,129.80x = 185,606,791.74
  5. Step 5: Solve for x
    x = 185,606,791.74/13,129.80
  6. Step 6: Final answer
    x = 14,136.30

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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.