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Finding the Fourth Proportional to 10,617.68, 15,988.23 and 7,863.86

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Solution

The fourth proportional to 10,617.68, 15,988.23 and 7,863.86 is: 11,841.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.68 : 15,988.23 = 7,863.86 : x
  2. Step 2: Convert to fraction form
    10,617.68/15,988.23 = 7,863.86/x
  3. Step 3: Cross multiply
    10,617.68x = 15,988.23 × 7,863.86
  4. Step 4: Simplify right side
    10,617.68x = 125,729,122.43
  5. Step 5: Solve for x
    x = 125,729,122.43/10,617.68
  6. Step 6: Final answer
    x = 11,841.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.