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Finding the Fourth Proportional to 7,152.09, 10,731.09 and 3,147.42

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Solution

The fourth proportional to 7,152.09, 10,731.09 and 3,147.42 is: 4,722.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.09 : 10,731.09 = 3,147.42 : x
  2. Step 2: Convert to fraction form
    7,152.09/10,731.09 = 3,147.42/x
  3. Step 3: Cross multiply
    7,152.09x = 10,731.09 × 3,147.42
  4. Step 4: Simplify right side
    7,152.09x = 33,775,231.55
  5. Step 5: Solve for x
    x = 33,775,231.55/7,152.09
  6. Step 6: Final answer
    x = 4,722.43

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1.5x scale

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.