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Finding the Fourth Proportional to 8,132, 12,194.16 and 2,937.76

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Solution

The fourth proportional to 8,132, 12,194.16 and 2,937.76 is: 4,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132 : 12,194.16 = 2,937.76 : x
  2. Step 2: Convert to fraction form
    8,132/12,194.16 = 2,937.76/x
  3. Step 3: Cross multiply
    8,132x = 12,194.16 × 2,937.76
  4. Step 4: Simplify right side
    8,132x = 35,823,515.48
  5. Step 5: Solve for x
    x = 35,823,515.48/8,132
  6. Step 6: Final answer
    x = 4,405.25

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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.