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Finding the Fourth Proportional to 3,781.86, 5,666.30 and 3,051.78

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Solution

The fourth proportional to 3,781.86, 5,666.30 and 3,051.78 is: 4,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.86 : 5,666.30 = 3,051.78 : x
  2. Step 2: Convert to fraction form
    3,781.86/5,666.30 = 3,051.78/x
  3. Step 3: Cross multiply
    3,781.86x = 5,666.30 × 3,051.78
  4. Step 4: Simplify right side
    3,781.86x = 17,292,301.01
  5. Step 5: Solve for x
    x = 17,292,301.01/3,781.86
  6. Step 6: Final answer
    x = 4,572.43

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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.