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Finding the Fourth Proportional to 19,687.80, 29,531.70 and 11,393.40

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Solution

The fourth proportional to 19,687.80, 29,531.70 and 11,393.40 is: 17,090.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,687.80 : 29,531.70 = 11,393.40 : x
  2. Step 2: Convert to fraction form
    19,687.80/29,531.70 = 11,393.40/x
  3. Step 3: Cross multiply
    19,687.80x = 29,531.70 × 11,393.40
  4. Step 4: Simplify right side
    19,687.80x = 336,466,470.78
  5. Step 5: Solve for x
    x = 336,466,470.78/19,687.80
  6. Step 6: Final answer
    x = 17,090.10

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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.