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Finding the Fourth Proportional to 7,253.50, 10,878.72 and 3,552

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Solution

The fourth proportional to 7,253.50, 10,878.72 and 3,552 is: 5,327.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,253.50 : 10,878.72 = 3,552 : x
  2. Step 2: Convert to fraction form
    7,253.50/10,878.72 = 3,552/x
  3. Step 3: Cross multiply
    7,253.50x = 10,878.72 × 3,552
  4. Step 4: Simplify right side
    7,253.50x = 38,641,213.44
  5. Step 5: Solve for x
    x = 38,641,213.44/7,253.50
  6. Step 6: Final answer
    x = 5,327.25

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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.