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Finding the Fourth Proportional to 1,876.86, 2,815.29 and 781.24

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Solution

The fourth proportional to 1,876.86, 2,815.29 and 781.24 is: 1,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.86 : 2,815.29 = 781.24 : x
  2. Step 2: Convert to fraction form
    1,876.86/2,815.29 = 781.24/x
  3. Step 3: Cross multiply
    1,876.86x = 2,815.29 × 781.24
  4. Step 4: Simplify right side
    1,876.86x = 2,199,410.12
  5. Step 5: Solve for x
    x = 2,199,410.12/1,876.86
  6. Step 6: Final answer
    x = 1,171.86

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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.