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Finding the Fourth Proportional to 6,456.64, 9,691.44 and 4,720

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Solution

The fourth proportional to 6,456.64, 9,691.44 and 4,720 is: 7,084.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.64 : 9,691.44 = 4,720 : x
  2. Step 2: Convert to fraction form
    6,456.64/9,691.44 = 4,720/x
  3. Step 3: Cross multiply
    6,456.64x = 9,691.44 × 4,720
  4. Step 4: Simplify right side
    6,456.64x = 45,743,596.80
  5. Step 5: Solve for x
    x = 45,743,596.80/6,456.64
  6. Step 6: Final answer
    x = 7,084.74

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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.