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Finding the Fourth Proportional to 6,787.52, 9,363.78 and 3,953.90

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Solution

The fourth proportional to 6,787.52, 9,363.78 and 3,953.90 is: 5,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.52 : 9,363.78 = 3,953.90 : x
  2. Step 2: Convert to fraction form
    6,787.52/9,363.78 = 3,953.90/x
  3. Step 3: Cross multiply
    6,787.52x = 9,363.78 × 3,953.90
  4. Step 4: Simplify right side
    6,787.52x = 37,023,449.74
  5. Step 5: Solve for x
    x = 37,023,449.74/6,787.52
  6. Step 6: Final answer
    x = 5,454.64

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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.