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Finding the Fourth Proportional to 3,318.64, 4,976.24 and 978.34

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Solution

The fourth proportional to 3,318.64, 4,976.24 and 978.34 is: 1,467.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.64 : 4,976.24 = 978.34 : x
  2. Step 2: Convert to fraction form
    3,318.64/4,976.24 = 978.34/x
  3. Step 3: Cross multiply
    3,318.64x = 4,976.24 × 978.34
  4. Step 4: Simplify right side
    3,318.64x = 4,868,454.64
  5. Step 5: Solve for x
    x = 4,868,454.64/3,318.64
  6. Step 6: Final answer
    x = 1,467.00

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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.