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Finding the Fourth Proportional to 13,691.34, 20,530.53 and 6,757.74

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Solution

The fourth proportional to 13,691.34, 20,530.53 and 6,757.74 is: 10,133.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.34 : 20,530.53 = 6,757.74 : x
  2. Step 2: Convert to fraction form
    13,691.34/20,530.53 = 6,757.74/x
  3. Step 3: Cross multiply
    13,691.34x = 20,530.53 × 6,757.74
  4. Step 4: Simplify right side
    13,691.34x = 138,739,983.80
  5. Step 5: Solve for x
    x = 138,739,983.80/13,691.34
  6. Step 6: Final answer
    x = 10,133.41

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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.