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Finding the Fourth Proportional to 5,318.10, 7,972 and 2,979.24

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Solution

The fourth proportional to 5,318.10, 7,972 and 2,979.24 is: 4,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.10 : 7,972 = 2,979.24 : x
  2. Step 2: Convert to fraction form
    5,318.10/7,972 = 2,979.24/x
  3. Step 3: Cross multiply
    5,318.10x = 7,972 × 2,979.24
  4. Step 4: Simplify right side
    5,318.10x = 23,750,501.28
  5. Step 5: Solve for x
    x = 23,750,501.28/5,318.10
  6. Step 6: Final answer
    x = 4,465.97

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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.