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Finding the Fourth Proportional to 5,781.40, 8,664.84 and 2,490.64

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Solution

The fourth proportional to 5,781.40, 8,664.84 and 2,490.64 is: 3,732.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.40 : 8,664.84 = 2,490.64 : x
  2. Step 2: Convert to fraction form
    5,781.40/8,664.84 = 2,490.64/x
  3. Step 3: Cross multiply
    5,781.40x = 8,664.84 × 2,490.64
  4. Step 4: Simplify right side
    5,781.40x = 21,580,997.10
  5. Step 5: Solve for x
    x = 21,580,997.10/5,781.40
  6. Step 6: Final answer
    x = 3,732.83

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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.