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Finding the Fourth Proportional to 1,542.80, 2,129.19 and 879.86

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Solution

The fourth proportional to 1,542.80, 2,129.19 and 879.86 is: 1,214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.80 : 2,129.19 = 879.86 : x
  2. Step 2: Convert to fraction form
    1,542.80/2,129.19 = 879.86/x
  3. Step 3: Cross multiply
    1,542.80x = 2,129.19 × 879.86
  4. Step 4: Simplify right side
    1,542.80x = 1,873,389.11
  5. Step 5: Solve for x
    x = 1,873,389.11/1,542.80
  6. Step 6: Final answer
    x = 1,214.28

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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.