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Finding the Fourth Proportional to 5,641.39, 7,780.05 and 3,649.87

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Solution

The fourth proportional to 5,641.39, 7,780.05 and 3,649.87 is: 5,033.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.39 : 7,780.05 = 3,649.87 : x
  2. Step 2: Convert to fraction form
    5,641.39/7,780.05 = 3,649.87/x
  3. Step 3: Cross multiply
    5,641.39x = 7,780.05 × 3,649.87
  4. Step 4: Simplify right side
    5,641.39x = 28,396,171.09
  5. Step 5: Solve for x
    x = 28,396,171.09/5,641.39
  6. Step 6: Final answer
    x = 5,033.54

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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.