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Finding the Fourth Proportional to 3,733.07, 5,600.77 and 1,542.83

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Solution

The fourth proportional to 3,733.07, 5,600.77 and 1,542.83 is: 2,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.07 : 5,600.77 = 1,542.83 : x
  2. Step 2: Convert to fraction form
    3,733.07/5,600.77 = 1,542.83/x
  3. Step 3: Cross multiply
    3,733.07x = 5,600.77 × 1,542.83
  4. Step 4: Simplify right side
    3,733.07x = 8,641,004.12
  5. Step 5: Solve for x
    x = 8,641,004.12/3,733.07
  6. Step 6: Final answer
    x = 2,314.72

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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.