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Finding the Fourth Proportional to 7,329.72, 10,996.20 and 3,432

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Solution

The fourth proportional to 7,329.72, 10,996.20 and 3,432 is: 5,148.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,329.72 : 10,996.20 = 3,432 : x
  2. Step 2: Convert to fraction form
    7,329.72/10,996.20 = 3,432/x
  3. Step 3: Cross multiply
    7,329.72x = 10,996.20 × 3,432
  4. Step 4: Simplify right side
    7,329.72x = 37,738,958.40
  5. Step 5: Solve for x
    x = 37,738,958.40/7,329.72
  6. Step 6: Final answer
    x = 5,148.76

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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.