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Finding the Fourth Proportional to 9,321.78, 12,864.11 and 5,072.87

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Solution

The fourth proportional to 9,321.78, 12,864.11 and 5,072.87 is: 7,000.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.78 : 12,864.11 = 5,072.87 : x
  2. Step 2: Convert to fraction form
    9,321.78/12,864.11 = 5,072.87/x
  3. Step 3: Cross multiply
    9,321.78x = 12,864.11 × 5,072.87
  4. Step 4: Simplify right side
    9,321.78x = 65,257,957.70
  5. Step 5: Solve for x
    x = 65,257,957.70/9,321.78
  6. Step 6: Final answer
    x = 7,000.59

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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.