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Finding the Fourth Proportional to 13,691.50, 18,894.26 and 7,723.15

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Solution

The fourth proportional to 13,691.50, 18,894.26 and 7,723.15 is: 10,657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.50 : 18,894.26 = 7,723.15 : x
  2. Step 2: Convert to fraction form
    13,691.50/18,894.26 = 7,723.15/x
  3. Step 3: Cross multiply
    13,691.50x = 18,894.26 × 7,723.15
  4. Step 4: Simplify right side
    13,691.50x = 145,923,176.19
  5. Step 5: Solve for x
    x = 145,923,176.19/13,691.50
  6. Step 6: Final answer
    x = 10,657.94

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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.