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Finding the Fourth Proportional to 2,542.64, 3,508.64 and 1,879.92

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Solution

The fourth proportional to 2,542.64, 3,508.64 and 1,879.92 is: 2,594.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.64 : 3,508.64 = 1,879.92 : x
  2. Step 2: Convert to fraction form
    2,542.64/3,508.64 = 1,879.92/x
  3. Step 3: Cross multiply
    2,542.64x = 3,508.64 × 1,879.92
  4. Step 4: Simplify right side
    2,542.64x = 6,595,962.51
  5. Step 5: Solve for x
    x = 6,595,962.51/2,542.64
  6. Step 6: Final answer
    x = 2,594.14

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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.