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Finding the Fourth Proportional to 7,853.64, 11,781 and 2,659.56

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Solution

The fourth proportional to 7,853.64, 11,781 and 2,659.56 is: 3,989.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.64 : 11,781 = 2,659.56 : x
  2. Step 2: Convert to fraction form
    7,853.64/11,781 = 2,659.56/x
  3. Step 3: Cross multiply
    7,853.64x = 11,781 × 2,659.56
  4. Step 4: Simplify right side
    7,853.64x = 31,332,276.36
  5. Step 5: Solve for x
    x = 31,332,276.36/7,853.64
  6. Step 6: Final answer
    x = 3,989.52

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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.