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Finding the Fourth Proportional to 7,642.65, 11,471.70 and 3,947.52

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Solution

The fourth proportional to 7,642.65, 11,471.70 and 3,947.52 is: 5,925.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.65 : 11,471.70 = 3,947.52 : x
  2. Step 2: Convert to fraction form
    7,642.65/11,471.70 = 3,947.52/x
  3. Step 3: Cross multiply
    7,642.65x = 11,471.70 × 3,947.52
  4. Step 4: Simplify right side
    7,642.65x = 45,284,765.18
  5. Step 5: Solve for x
    x = 45,284,765.18/7,642.65
  6. Step 6: Final answer
    x = 5,925.27

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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.