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Finding the Fourth Proportional to 3,608.53, 5,412.80 and 872.53

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Solution

The fourth proportional to 3,608.53, 5,412.80 and 872.53 is: 1,308.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.53 : 5,412.80 = 872.53 : x
  2. Step 2: Convert to fraction form
    3,608.53/5,412.80 = 872.53/x
  3. Step 3: Cross multiply
    3,608.53x = 5,412.80 × 872.53
  4. Step 4: Simplify right side
    3,608.53x = 4,722,830.38
  5. Step 5: Solve for x
    x = 4,722,830.38/3,608.53
  6. Step 6: Final answer
    x = 1,308.80

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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.