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Finding the Fourth Proportional to 3,400.50, 5,102.88 and 1,452.72

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Solution

The fourth proportional to 3,400.50, 5,102.88 and 1,452.72 is: 2,179.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.50 : 5,102.88 = 1,452.72 : x
  2. Step 2: Convert to fraction form
    3,400.50/5,102.88 = 1,452.72/x
  3. Step 3: Cross multiply
    3,400.50x = 5,102.88 × 1,452.72
  4. Step 4: Simplify right side
    3,400.50x = 7,413,055.83
  5. Step 5: Solve for x
    x = 7,413,055.83/3,400.50
  6. Step 6: Final answer
    x = 2,179.99

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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.