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Finding the Fourth Proportional to 2,781.86, 4,172.80 and 807.61

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Solution

The fourth proportional to 2,781.86, 4,172.80 and 807.61 is: 1,211.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.86 : 4,172.80 = 807.61 : x
  2. Step 2: Convert to fraction form
    2,781.86/4,172.80 = 807.61/x
  3. Step 3: Cross multiply
    2,781.86x = 4,172.80 × 807.61
  4. Step 4: Simplify right side
    2,781.86x = 3,369,995.01
  5. Step 5: Solve for x
    x = 3,369,995.01/2,781.86
  6. Step 6: Final answer
    x = 1,211.42

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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.