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Finding the Fourth Proportional to 3,171.72, 4,755.20 and 979.16

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Solution

The fourth proportional to 3,171.72, 4,755.20 and 979.16 is: 1,468.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.72 : 4,755.20 = 979.16 : x
  2. Step 2: Convert to fraction form
    3,171.72/4,755.20 = 979.16/x
  3. Step 3: Cross multiply
    3,171.72x = 4,755.20 × 979.16
  4. Step 4: Simplify right side
    3,171.72x = 4,656,101.63
  5. Step 5: Solve for x
    x = 4,656,101.63/3,171.72
  6. Step 6: Final answer
    x = 1,468.01

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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.