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Finding the Fourth Proportional to 8,269.76, 12,399.28 and 4,376

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Solution

The fourth proportional to 8,269.76, 12,399.28 and 4,376 is: 6,561.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.76 : 12,399.28 = 4,376 : x
  2. Step 2: Convert to fraction form
    8,269.76/12,399.28 = 4,376/x
  3. Step 3: Cross multiply
    8,269.76x = 12,399.28 × 4,376
  4. Step 4: Simplify right side
    8,269.76x = 54,259,249.28
  5. Step 5: Solve for x
    x = 54,259,249.28/8,269.76
  6. Step 6: Final answer
    x = 6,561.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.