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Finding the Fourth Proportional to 9,640.64, 14,456.04 and 4,442

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Solution

The fourth proportional to 9,640.64, 14,456.04 and 4,442 is: 6,660.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.64 : 14,456.04 = 4,442 : x
  2. Step 2: Convert to fraction form
    9,640.64/14,456.04 = 4,442/x
  3. Step 3: Cross multiply
    9,640.64x = 14,456.04 × 4,442
  4. Step 4: Simplify right side
    9,640.64x = 64,213,729.68
  5. Step 5: Solve for x
    x = 64,213,729.68/9,640.64
  6. Step 6: Final answer
    x = 6,660.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.