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Finding the Fourth Proportional to 2,387.46, 3,581.64 and 827.40

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Solution

The fourth proportional to 2,387.46, 3,581.64 and 827.40 is: 1,241.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.46 : 3,581.64 = 827.40 : x
  2. Step 2: Convert to fraction form
    2,387.46/3,581.64 = 827.40/x
  3. Step 3: Cross multiply
    2,387.46x = 3,581.64 × 827.40
  4. Step 4: Simplify right side
    2,387.46x = 2,963,448.94
  5. Step 5: Solve for x
    x = 2,963,448.94/2,387.46
  6. Step 6: Final answer
    x = 1,241.26

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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.