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Finding the Fourth Proportional to 7,231.10, 9,978.98 and 4,246.97

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Solution

The fourth proportional to 7,231.10, 9,978.98 and 4,246.97 is: 5,860.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.10 : 9,978.98 = 4,246.97 : x
  2. Step 2: Convert to fraction form
    7,231.10/9,978.98 = 4,246.97/x
  3. Step 3: Cross multiply
    7,231.10x = 9,978.98 × 4,246.97
  4. Step 4: Simplify right side
    7,231.10x = 42,380,357.56
  5. Step 5: Solve for x
    x = 42,380,357.56/7,231.10
  6. Step 6: Final answer
    x = 5,860.85

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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.