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Finding the Fourth Proportional to 5,787.12, 8,681.40 and 2,276.40

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Solution

The fourth proportional to 5,787.12, 8,681.40 and 2,276.40 is: 3,414.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.12 : 8,681.40 = 2,276.40 : x
  2. Step 2: Convert to fraction form
    5,787.12/8,681.40 = 2,276.40/x
  3. Step 3: Cross multiply
    5,787.12x = 8,681.40 × 2,276.40
  4. Step 4: Simplify right side
    5,787.12x = 19,762,338.96
  5. Step 5: Solve for x
    x = 19,762,338.96/5,787.12
  6. Step 6: Final answer
    x = 3,414.88

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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.