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Finding the Fourth Proportional to 6,479.38, 9,717 and 2,780.62

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Solution

The fourth proportional to 6,479.38, 9,717 and 2,780.62 is: 4,170.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.38 : 9,717 = 2,780.62 : x
  2. Step 2: Convert to fraction form
    6,479.38/9,717 = 2,780.62/x
  3. Step 3: Cross multiply
    6,479.38x = 9,717 × 2,780.62
  4. Step 4: Simplify right side
    6,479.38x = 27,019,284.54
  5. Step 5: Solve for x
    x = 27,019,284.54/6,479.38
  6. Step 6: Final answer
    x = 4,170.04

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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.