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Finding the Fourth Proportional to 23,143.20, 34,687.80 and 13,291.80

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Solution

The fourth proportional to 23,143.20, 34,687.80 and 13,291.80 is: 19,922.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143.20 : 34,687.80 = 13,291.80 : x
  2. Step 2: Convert to fraction form
    23,143.20/34,687.80 = 13,291.80/x
  3. Step 3: Cross multiply
    23,143.20x = 34,687.80 × 13,291.80
  4. Step 4: Simplify right side
    23,143.20x = 461,063,300.04
  5. Step 5: Solve for x
    x = 461,063,300.04/23,143.20
  6. Step 6: Final answer
    x = 19,922.19

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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.