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Finding the Fourth Proportional to 9,278.91, 12,797.46 and 8,157.47

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Solution

The fourth proportional to 9,278.91, 12,797.46 and 8,157.47 is: 11,250.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.91 : 12,797.46 = 8,157.47 : x
  2. Step 2: Convert to fraction form
    9,278.91/12,797.46 = 8,157.47/x
  3. Step 3: Cross multiply
    9,278.91x = 12,797.46 × 8,157.47
  4. Step 4: Simplify right side
    9,278.91x = 104,394,791.25
  5. Step 5: Solve for x
    x = 104,394,791.25/9,278.91
  6. Step 6: Final answer
    x = 11,250.76

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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.