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Finding the Fourth Proportional to 6,478.70, 9,727.16 and 3,318.41

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Solution

The fourth proportional to 6,478.70, 9,727.16 and 3,318.41 is: 4,982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.70 : 9,727.16 = 3,318.41 : x
  2. Step 2: Convert to fraction form
    6,478.70/9,727.16 = 3,318.41/x
  3. Step 3: Cross multiply
    6,478.70x = 9,727.16 × 3,318.41
  4. Step 4: Simplify right side
    6,478.70x = 32,278,712.74
  5. Step 5: Solve for x
    x = 32,278,712.74/6,478.70
  6. Step 6: Final answer
    x = 4,982.28

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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.