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Finding the Fourth Proportional to 13,691.30, 18,893.54 and 7,722.75

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Solution

The fourth proportional to 13,691.30, 18,893.54 and 7,722.75 is: 10,657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.30 : 18,893.54 = 7,722.75 : x
  2. Step 2: Convert to fraction form
    13,691.30/18,893.54 = 7,722.75/x
  3. Step 3: Cross multiply
    13,691.30x = 18,893.54 × 7,722.75
  4. Step 4: Simplify right side
    13,691.30x = 145,910,105.34
  5. Step 5: Solve for x
    x = 145,910,105.34/13,691.30
  6. Step 6: Final answer
    x = 10,657.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.