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Finding the Fourth Proportional to 8,282.32, 12,420.84 and 2,734.63

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Solution

The fourth proportional to 8,282.32, 12,420.84 and 2,734.63 is: 4,101.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.32 : 12,420.84 = 2,734.63 : x
  2. Step 2: Convert to fraction form
    8,282.32/12,420.84 = 2,734.63/x
  3. Step 3: Cross multiply
    8,282.32x = 12,420.84 × 2,734.63
  4. Step 4: Simplify right side
    8,282.32x = 33,966,401.69
  5. Step 5: Solve for x
    x = 33,966,401.69/8,282.32
  6. Step 6: Final answer
    x = 4,101.07

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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.