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Finding the Fourth Proportional to 2,542.64, 3,814.68 and 1,082

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Solution

The fourth proportional to 2,542.64, 3,814.68 and 1,082 is: 1,623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.64 : 3,814.68 = 1,082 : x
  2. Step 2: Convert to fraction form
    2,542.64/3,814.68 = 1,082/x
  3. Step 3: Cross multiply
    2,542.64x = 3,814.68 × 1,082
  4. Step 4: Simplify right side
    2,542.64x = 4,127,483.76
  5. Step 5: Solve for x
    x = 4,127,483.76/2,542.64
  6. Step 6: Final answer
    x = 1,623.31

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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.