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Finding the Fourth Proportional to 7,231.25, 9,978.72 and 5,244.32

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Solution

The fourth proportional to 7,231.25, 9,978.72 and 5,244.32 is: 7,236.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.25 : 9,978.72 = 5,244.32 : x
  2. Step 2: Convert to fraction form
    7,231.25/9,978.72 = 5,244.32/x
  3. Step 3: Cross multiply
    7,231.25x = 9,978.72 × 5,244.32
  4. Step 4: Simplify right side
    7,231.25x = 52,331,600.87
  5. Step 5: Solve for x
    x = 52,331,600.87/7,231.25
  6. Step 6: Final answer
    x = 7,236.87

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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.