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Finding the Fourth Proportional to 3,871.86, 5,805.73 and 1,531.77

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Solution

The fourth proportional to 3,871.86, 5,805.73 and 1,531.77 is: 2,296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.86 : 5,805.73 = 1,531.77 : x
  2. Step 2: Convert to fraction form
    3,871.86/5,805.73 = 1,531.77/x
  3. Step 3: Cross multiply
    3,871.86x = 5,805.73 × 1,531.77
  4. Step 4: Simplify right side
    3,871.86x = 8,893,044.96
  5. Step 5: Solve for x
    x = 8,893,044.96/3,871.86
  6. Step 6: Final answer
    x = 2,296.84

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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.