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Finding the Fourth Proportional to 3,454.58, 5,180.31 and 988.82

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Solution

The fourth proportional to 3,454.58, 5,180.31 and 988.82 is: 1,482.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.58 : 5,180.31 = 988.82 : x
  2. Step 2: Convert to fraction form
    3,454.58/5,180.31 = 988.82/x
  3. Step 3: Cross multiply
    3,454.58x = 5,180.31 × 988.82
  4. Step 4: Simplify right side
    3,454.58x = 5,122,394.13
  5. Step 5: Solve for x
    x = 5,122,394.13/3,454.58
  6. Step 6: Final answer
    x = 1,482.78

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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.