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Finding the Fourth Proportional to 6,479.74, 9,706.90 and 3,361.78

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Solution

The fourth proportional to 6,479.74, 9,706.90 and 3,361.78 is: 5,036.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.74 : 9,706.90 = 3,361.78 : x
  2. Step 2: Convert to fraction form
    6,479.74/9,706.90 = 3,361.78/x
  3. Step 3: Cross multiply
    6,479.74x = 9,706.90 × 3,361.78
  4. Step 4: Simplify right side
    6,479.74x = 32,632,462.28
  5. Step 5: Solve for x
    x = 32,632,462.28/6,479.74
  6. Step 6: Final answer
    x = 5,036.08

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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.