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Finding the Fourth Proportional to 13,691.48, 18,894.22 and 7,723.13

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Solution

The fourth proportional to 13,691.48, 18,894.22 and 7,723.13 is: 10,657.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.48 : 18,894.22 = 7,723.13 : x
  2. Step 2: Convert to fraction form
    13,691.48/18,894.22 = 7,723.13/x
  3. Step 3: Cross multiply
    13,691.48x = 18,894.22 × 7,723.13
  4. Step 4: Simplify right side
    13,691.48x = 145,922,517.31
  5. Step 5: Solve for x
    x = 145,922,517.31/13,691.48
  6. Step 6: Final answer
    x = 10,657.91

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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.