Home / 2,542.47-3,807.78-2,472.40

Finding the Fourth Proportional to 2,542.47, 3,807.78 and 2,472.40

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Solution

The fourth proportional to 2,542.47, 3,807.78 and 2,472.40 is: 3,702.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.47 : 3,807.78 = 2,472.40 : x
  2. Step 2: Convert to fraction form
    2,542.47/3,807.78 = 2,472.40/x
  3. Step 3: Cross multiply
    2,542.47x = 3,807.78 × 2,472.40
  4. Step 4: Simplify right side
    2,542.47x = 9,414,355.27
  5. Step 5: Solve for x
    x = 9,414,355.27/2,542.47
  6. Step 6: Final answer
    x = 3,702.84

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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.