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Finding the Fourth Proportional to 9,182.75, 12,672.20 and 5,456.75

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Solution

The fourth proportional to 9,182.75, 12,672.20 and 5,456.75 is: 7,530.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.75 : 12,672.20 = 5,456.75 : x
  2. Step 2: Convert to fraction form
    9,182.75/12,672.20 = 5,456.75/x
  3. Step 3: Cross multiply
    9,182.75x = 12,672.20 × 5,456.75
  4. Step 4: Simplify right side
    9,182.75x = 69,149,000.07
  5. Step 5: Solve for x
    x = 69,149,000.07/9,182.75
  6. Step 6: Final answer
    x = 7,530.32

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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.