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Finding the Fourth Proportional to 13,691.76, 18,894.35 and 7,723.44

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Solution

The fourth proportional to 13,691.76, 18,894.35 and 7,723.44 is: 10,658.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.76 : 18,894.35 = 7,723.44 : x
  2. Step 2: Convert to fraction form
    13,691.76/18,894.35 = 7,723.44/x
  3. Step 3: Cross multiply
    13,691.76x = 18,894.35 × 7,723.44
  4. Step 4: Simplify right side
    13,691.76x = 145,929,339.95
  5. Step 5: Solve for x
    x = 145,929,339.95/13,691.76
  6. Step 6: Final answer
    x = 10,658.19

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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.