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Finding the Fourth Proportional to 8,342.45, 11,517.96 and 7,444.65

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Solution

The fourth proportional to 8,342.45, 11,517.96 and 7,444.65 is: 10,278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.45 : 11,517.96 = 7,444.65 : x
  2. Step 2: Convert to fraction form
    8,342.45/11,517.96 = 7,444.65/x
  3. Step 3: Cross multiply
    8,342.45x = 11,517.96 × 7,444.65
  4. Step 4: Simplify right side
    8,342.45x = 85,747,188.22
  5. Step 5: Solve for x
    x = 85,747,188.22/8,342.45
  6. Step 6: Final answer
    x = 10,278.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.