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Finding the Fourth Proportional to 7,672.50, 11,502.63 and 3,975.30

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Solution

The fourth proportional to 7,672.50, 11,502.63 and 3,975.30 is: 5,959.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.50 : 11,502.63 = 3,975.30 : x
  2. Step 2: Convert to fraction form
    7,672.50/11,502.63 = 3,975.30/x
  3. Step 3: Cross multiply
    7,672.50x = 11,502.63 × 3,975.30
  4. Step 4: Simplify right side
    7,672.50x = 45,726,405.04
  5. Step 5: Solve for x
    x = 45,726,405.04/7,672.50
  6. Step 6: Final answer
    x = 5,959.78

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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.