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Finding the Fourth Proportional to 7,853.52, 11,780.24 and 2,659.76

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Solution

The fourth proportional to 7,853.52, 11,780.24 and 2,659.76 is: 3,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.52 : 11,780.24 = 2,659.76 : x
  2. Step 2: Convert to fraction form
    7,853.52/11,780.24 = 2,659.76/x
  3. Step 3: Cross multiply
    7,853.52x = 11,780.24 × 2,659.76
  4. Step 4: Simplify right side
    7,853.52x = 31,332,611.14
  5. Step 5: Solve for x
    x = 31,332,611.14/7,853.52
  6. Step 6: Final answer
    x = 3,989.63

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1.5x scale

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.