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Finding the Fourth Proportional to 3,318.98, 4,978.48 and 3,152.69

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Solution

The fourth proportional to 3,318.98, 4,978.48 and 3,152.69 is: 4,729.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.98 : 4,978.48 = 3,152.69 : x
  2. Step 2: Convert to fraction form
    3,318.98/4,978.48 = 3,152.69/x
  3. Step 3: Cross multiply
    3,318.98x = 4,978.48 × 3,152.69
  4. Step 4: Simplify right side
    3,318.98x = 15,695,604.11
  5. Step 5: Solve for x
    x = 15,695,604.11/3,318.98
  6. Step 6: Final answer
    x = 4,729.04

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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.