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Finding the Fourth Proportional to 8,661.42, 11,954.70 and 5,517

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Solution

The fourth proportional to 8,661.42, 11,954.70 and 5,517 is: 7,614.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.42 : 11,954.70 = 5,517 : x
  2. Step 2: Convert to fraction form
    8,661.42/11,954.70 = 5,517/x
  3. Step 3: Cross multiply
    8,661.42x = 11,954.70 × 5,517
  4. Step 4: Simplify right side
    8,661.42x = 65,954,079.90
  5. Step 5: Solve for x
    x = 65,954,079.90/8,661.42
  6. Step 6: Final answer
    x = 7,614.70

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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.