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Finding the Fourth Proportional to 7,853.79, 11,780.57 and 2,663.31

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Solution

The fourth proportional to 7,853.79, 11,780.57 and 2,663.31 is: 3,994.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.79 : 11,780.57 = 2,663.31 : x
  2. Step 2: Convert to fraction form
    7,853.79/11,780.57 = 2,663.31/x
  3. Step 3: Cross multiply
    7,853.79x = 11,780.57 × 2,663.31
  4. Step 4: Simplify right side
    7,853.79x = 31,375,296.57
  5. Step 5: Solve for x
    x = 31,375,296.57/7,853.79
  6. Step 6: Final answer
    x = 3,994.92

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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.