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Finding the Fourth Proportional to 8,363.98, 11,513.32 and 7,229.13

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Solution

The fourth proportional to 8,363.98, 11,513.32 and 7,229.13 is: 9,951.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.98 : 11,513.32 = 7,229.13 : x
  2. Step 2: Convert to fraction form
    8,363.98/11,513.32 = 7,229.13/x
  3. Step 3: Cross multiply
    8,363.98x = 11,513.32 × 7,229.13
  4. Step 4: Simplify right side
    8,363.98x = 83,231,333.87
  5. Step 5: Solve for x
    x = 83,231,333.87/8,363.98
  6. Step 6: Final answer
    x = 9,951.16

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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.