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Finding the Fourth Proportional to 5,172.42, 7,761.88 and 2,709.22

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Solution

The fourth proportional to 5,172.42, 7,761.88 and 2,709.22 is: 4,065.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.42 : 7,761.88 = 2,709.22 : x
  2. Step 2: Convert to fraction form
    5,172.42/7,761.88 = 2,709.22/x
  3. Step 3: Cross multiply
    5,172.42x = 7,761.88 × 2,709.22
  4. Step 4: Simplify right side
    5,172.42x = 21,028,640.53
  5. Step 5: Solve for x
    x = 21,028,640.53/5,172.42
  6. Step 6: Final answer
    x = 4,065.53

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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.