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Finding the Fourth Proportional to 5,790.48, 7,989 and 3,550.02

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Solution

The fourth proportional to 5,790.48, 7,989 and 3,550.02 is: 4,897.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.48 : 7,989 = 3,550.02 : x
  2. Step 2: Convert to fraction form
    5,790.48/7,989 = 3,550.02/x
  3. Step 3: Cross multiply
    5,790.48x = 7,989 × 3,550.02
  4. Step 4: Simplify right side
    5,790.48x = 28,361,109.78
  5. Step 5: Solve for x
    x = 28,361,109.78/5,790.48
  6. Step 6: Final answer
    x = 4,897.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.