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Finding the Fourth Proportional to 6,720.87, 10,077.62 and 5,156.97

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Solution

The fourth proportional to 6,720.87, 10,077.62 and 5,156.97 is: 7,732.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,720.87 : 10,077.62 = 5,156.97 : x
  2. Step 2: Convert to fraction form
    6,720.87/10,077.62 = 5,156.97/x
  3. Step 3: Cross multiply
    6,720.87x = 10,077.62 × 5,156.97
  4. Step 4: Simplify right side
    6,720.87x = 51,969,920.44
  5. Step 5: Solve for x
    x = 51,969,920.44/6,720.87
  6. Step 6: Final answer
    x = 7,732.61

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1.5x scale

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.