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Finding the Fourth Proportional to 8,423.68, 11,617.68 and 6,324.16

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Solution

The fourth proportional to 8,423.68, 11,617.68 and 6,324.16 is: 8,722.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.68 : 11,617.68 = 6,324.16 : x
  2. Step 2: Convert to fraction form
    8,423.68/11,617.68 = 6,324.16/x
  3. Step 3: Cross multiply
    8,423.68x = 11,617.68 × 6,324.16
  4. Step 4: Simplify right side
    8,423.68x = 73,472,067.15
  5. Step 5: Solve for x
    x = 73,472,067.15/8,423.68
  6. Step 6: Final answer
    x = 8,722.09

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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.