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Finding the Fourth Proportional to 7,642.92, 11,475 and 3,947.88

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Solution

The fourth proportional to 7,642.92, 11,475 and 3,947.88 is: 5,927.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.92 : 11,475 = 3,947.88 : x
  2. Step 2: Convert to fraction form
    7,642.92/11,475 = 3,947.88/x
  3. Step 3: Cross multiply
    7,642.92x = 11,475 × 3,947.88
  4. Step 4: Simplify right side
    7,642.92x = 45,301,923
  5. Step 5: Solve for x
    x = 45,301,923/7,642.92
  6. Step 6: Final answer
    x = 5,927.31

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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.