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Finding the Fourth Proportional to 6,375, 9,560.68 and 2,678.06

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Solution

The fourth proportional to 6,375, 9,560.68 and 2,678.06 is: 4,016.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375 : 9,560.68 = 2,678.06 : x
  2. Step 2: Convert to fraction form
    6,375/9,560.68 = 2,678.06/x
  3. Step 3: Cross multiply
    6,375x = 9,560.68 × 2,678.06
  4. Step 4: Simplify right side
    6,375x = 25,604,074.68
  5. Step 5: Solve for x
    x = 25,604,074.68/6,375
  6. Step 6: Final answer
    x = 4,016.33

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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.