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Finding the Fourth Proportional to 9,139.68, 13,706.69 and 3,295.53

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Solution

The fourth proportional to 9,139.68, 13,706.69 and 3,295.53 is: 4,942.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.68 : 13,706.69 = 3,295.53 : x
  2. Step 2: Convert to fraction form
    9,139.68/13,706.69 = 3,295.53/x
  3. Step 3: Cross multiply
    9,139.68x = 13,706.69 × 3,295.53
  4. Step 4: Simplify right side
    9,139.68x = 45,170,791.62
  5. Step 5: Solve for x
    x = 45,170,791.62/9,139.68
  6. Step 6: Final answer
    x = 4,942.27

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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.