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Finding the Fourth Proportional to 3,590.28, 5,385.42 and 3,073.77

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Solution

The fourth proportional to 3,590.28, 5,385.42 and 3,073.77 is: 4,610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.28 : 5,385.42 = 3,073.77 : x
  2. Step 2: Convert to fraction form
    3,590.28/5,385.42 = 3,073.77/x
  3. Step 3: Cross multiply
    3,590.28x = 5,385.42 × 3,073.77
  4. Step 4: Simplify right side
    3,590.28x = 16,553,542.43
  5. Step 5: Solve for x
    x = 16,553,542.43/3,590.28
  6. Step 6: Final answer
    x = 4,610.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.