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Finding the Fourth Proportional to 8,121.84, 12,175.08 and 2,646

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Solution

The fourth proportional to 8,121.84, 12,175.08 and 2,646 is: 3,966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.84 : 12,175.08 = 2,646 : x
  2. Step 2: Convert to fraction form
    8,121.84/12,175.08 = 2,646/x
  3. Step 3: Cross multiply
    8,121.84x = 12,175.08 × 2,646
  4. Step 4: Simplify right side
    8,121.84x = 32,215,261.68
  5. Step 5: Solve for x
    x = 32,215,261.68/8,121.84
  6. Step 6: Final answer
    x = 3,966.50

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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.