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Finding the Fourth Proportional to 6,479.78, 9,669.11 and 5,781.65

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Solution

The fourth proportional to 6,479.78, 9,669.11 and 5,781.65 is: 8,627.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.78 : 9,669.11 = 5,781.65 : x
  2. Step 2: Convert to fraction form
    6,479.78/9,669.11 = 5,781.65/x
  3. Step 3: Cross multiply
    6,479.78x = 9,669.11 × 5,781.65
  4. Step 4: Simplify right side
    6,479.78x = 55,903,361.49
  5. Step 5: Solve for x
    x = 55,903,361.49/6,479.78
  6. Step 6: Final answer
    x = 8,627.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.