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Finding the Fourth Proportional to 3,287.12, 4,930.76 and 978.64

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Solution

The fourth proportional to 3,287.12, 4,930.76 and 978.64 is: 1,467.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.12 : 4,930.76 = 978.64 : x
  2. Step 2: Convert to fraction form
    3,287.12/4,930.76 = 978.64/x
  3. Step 3: Cross multiply
    3,287.12x = 4,930.76 × 978.64
  4. Step 4: Simplify right side
    3,287.12x = 4,825,438.97
  5. Step 5: Solve for x
    x = 4,825,438.97/3,287.12
  6. Step 6: Final answer
    x = 1,467.98

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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.