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Finding the Fourth Proportional to 3,166.62, 4,750.80 and 1,318.60

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Solution

The fourth proportional to 3,166.62, 4,750.80 and 1,318.60 is: 1,978.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.62 : 4,750.80 = 1,318.60 : x
  2. Step 2: Convert to fraction form
    3,166.62/4,750.80 = 1,318.60/x
  3. Step 3: Cross multiply
    3,166.62x = 4,750.80 × 1,318.60
  4. Step 4: Simplify right side
    3,166.62x = 6,264,404.88
  5. Step 5: Solve for x
    x = 6,264,404.88/3,166.62
  6. Step 6: Final answer
    x = 1,978.26

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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.