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Finding the Fourth Proportional to 9,253.38, 12,771.09 and 7,278.90

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Solution

The fourth proportional to 9,253.38, 12,771.09 and 7,278.90 is: 10,046.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.38 : 12,771.09 = 7,278.90 : x
  2. Step 2: Convert to fraction form
    9,253.38/12,771.09 = 7,278.90/x
  3. Step 3: Cross multiply
    9,253.38x = 12,771.09 × 7,278.90
  4. Step 4: Simplify right side
    9,253.38x = 92,959,487.00
  5. Step 5: Solve for x
    x = 92,959,487.00/9,253.38
  6. Step 6: Final answer
    x = 10,046.00

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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.