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Finding the Fourth Proportional to 6,438, 8,884.48 and 3,785.52

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Solution

The fourth proportional to 6,438, 8,884.48 and 3,785.52 is: 5,224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438 : 8,884.48 = 3,785.52 : x
  2. Step 2: Convert to fraction form
    6,438/8,884.48 = 3,785.52/x
  3. Step 3: Cross multiply
    6,438x = 8,884.48 × 3,785.52
  4. Step 4: Simplify right side
    6,438x = 33,632,376.73
  5. Step 5: Solve for x
    x = 33,632,376.73/6,438
  6. Step 6: Final answer
    x = 5,224.04

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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.