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Finding the Fourth Proportional to 7,230.25, 9,979.11 and 4,086.44

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Solution

The fourth proportional to 7,230.25, 9,979.11 and 4,086.44 is: 5,640.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.25 : 9,979.11 = 4,086.44 : x
  2. Step 2: Convert to fraction form
    7,230.25/9,979.11 = 4,086.44/x
  3. Step 3: Cross multiply
    7,230.25x = 9,979.11 × 4,086.44
  4. Step 4: Simplify right side
    7,230.25x = 40,779,034.27
  5. Step 5: Solve for x
    x = 40,779,034.27/7,230.25
  6. Step 6: Final answer
    x = 5,640.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.