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Finding the Fourth Proportional to 6,478.38, 8,938.62 and 3,645.95

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Solution

The fourth proportional to 6,478.38, 8,938.62 and 3,645.95 is: 5,030.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.38 : 8,938.62 = 3,645.95 : x
  2. Step 2: Convert to fraction form
    6,478.38/8,938.62 = 3,645.95/x
  3. Step 3: Cross multiply
    6,478.38x = 8,938.62 × 3,645.95
  4. Step 4: Simplify right side
    6,478.38x = 32,589,716.90
  5. Step 5: Solve for x
    x = 32,589,716.90/6,478.38
  6. Step 6: Final answer
    x = 5,030.53

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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.