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Finding the Fourth Proportional to 3,454.17, 5,180.35 and 988.41

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Solution

The fourth proportional to 3,454.17, 5,180.35 and 988.41 is: 1,482.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.17 : 5,180.35 = 988.41 : x
  2. Step 2: Convert to fraction form
    3,454.17/5,180.35 = 988.41/x
  3. Step 3: Cross multiply
    3,454.17x = 5,180.35 × 988.41
  4. Step 4: Simplify right side
    3,454.17x = 5,120,309.74
  5. Step 5: Solve for x
    x = 5,120,309.74/3,454.17
  6. Step 6: Final answer
    x = 1,482.36

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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.