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Finding the Fourth Proportional to 13,691.52, 18,771 and 13,442.40

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Solution

The fourth proportional to 13,691.52, 18,771 and 13,442.40 is: 18,429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.52 : 18,771 = 13,442.40 : x
  2. Step 2: Convert to fraction form
    13,691.52/18,771 = 13,442.40/x
  3. Step 3: Cross multiply
    13,691.52x = 18,771 × 13,442.40
  4. Step 4: Simplify right side
    13,691.52x = 252,327,290.40
  5. Step 5: Solve for x
    x = 252,327,290.40/13,691.52
  6. Step 6: Final answer
    x = 18,429.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.