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Finding the Fourth Proportional to 7,663.75, 11,494.27 and 2,115.79

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Solution

The fourth proportional to 7,663.75, 11,494.27 and 2,115.79 is: 3,173.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.75 : 11,494.27 = 2,115.79 : x
  2. Step 2: Convert to fraction form
    7,663.75/11,494.27 = 2,115.79/x
  3. Step 3: Cross multiply
    7,663.75x = 11,494.27 × 2,115.79
  4. Step 4: Simplify right side
    7,663.75x = 24,319,461.52
  5. Step 5: Solve for x
    x = 24,319,461.52/7,663.75
  6. Step 6: Final answer
    x = 3,173.31

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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.