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Finding the Fourth Proportional to 6,449.51, 9,696.14 and 5,149.86

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Solution

The fourth proportional to 6,449.51, 9,696.14 and 5,149.86 is: 7,742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.51 : 9,696.14 = 5,149.86 : x
  2. Step 2: Convert to fraction form
    6,449.51/9,696.14 = 5,149.86/x
  3. Step 3: Cross multiply
    6,449.51x = 9,696.14 × 5,149.86
  4. Step 4: Simplify right side
    6,449.51x = 49,933,737.79
  5. Step 5: Solve for x
    x = 49,933,737.79/6,449.51
  6. Step 6: Final answer
    x = 7,742.26

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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.