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Finding the Fourth Proportional to 2,440, 3,650.82 and 1,711

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Solution

The fourth proportional to 2,440, 3,650.82 and 1,711 is: 2,560.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440 : 3,650.82 = 1,711 : x
  2. Step 2: Convert to fraction form
    2,440/3,650.82 = 1,711/x
  3. Step 3: Cross multiply
    2,440x = 3,650.82 × 1,711
  4. Step 4: Simplify right side
    2,440x = 6,246,553.02
  5. Step 5: Solve for x
    x = 6,246,553.02/2,440
  6. Step 6: Final answer
    x = 2,560.06

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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.