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Finding the Fourth Proportional to 2,542.59, 3,510.27 and 1,908

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Solution

The fourth proportional to 2,542.59, 3,510.27 and 1,908 is: 2,634.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.59 : 3,510.27 = 1,908 : x
  2. Step 2: Convert to fraction form
    2,542.59/3,510.27 = 1,908/x
  3. Step 3: Cross multiply
    2,542.59x = 3,510.27 × 1,908
  4. Step 4: Simplify right side
    2,542.59x = 6,697,595.16
  5. Step 5: Solve for x
    x = 6,697,595.16/2,542.59
  6. Step 6: Final answer
    x = 2,634.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.