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Finding the Fourth Proportional to 5,376, 8,065.92 and 2,641.92

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Solution

The fourth proportional to 5,376, 8,065.92 and 2,641.92 is: 3,963.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,376 : 8,065.92 = 2,641.92 : x
  2. Step 2: Convert to fraction form
    5,376/8,065.92 = 2,641.92/x
  3. Step 3: Cross multiply
    5,376x = 8,065.92 × 2,641.92
  4. Step 4: Simplify right side
    5,376x = 21,309,515.37
  5. Step 5: Solve for x
    x = 21,309,515.37/5,376
  6. Step 6: Final answer
    x = 3,963.82

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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.