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Finding the Fourth Proportional to 4,371.67, 6,550.95 and 1,905.15

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Solution

The fourth proportional to 4,371.67, 6,550.95 and 1,905.15 is: 2,854.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,371.67 : 6,550.95 = 1,905.15 : x
  2. Step 2: Convert to fraction form
    4,371.67/6,550.95 = 1,905.15/x
  3. Step 3: Cross multiply
    4,371.67x = 6,550.95 × 1,905.15
  4. Step 4: Simplify right side
    4,371.67x = 12,480,542.39
  5. Step 5: Solve for x
    x = 12,480,542.39/4,371.67
  6. Step 6: Final answer
    x = 2,854.87

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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.