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Finding the Fourth Proportional to 12,220.84, 18,332 and 3,456.42

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Solution

The fourth proportional to 12,220.84, 18,332 and 3,456.42 is: 5,184.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,220.84 : 18,332 = 3,456.42 : x
  2. Step 2: Convert to fraction form
    12,220.84/18,332 = 3,456.42/x
  3. Step 3: Cross multiply
    12,220.84x = 18,332 × 3,456.42
  4. Step 4: Simplify right side
    12,220.84x = 63,363,091.44
  5. Step 5: Solve for x
    x = 63,363,091.44/12,220.84
  6. Step 6: Final answer
    x = 5,184.84

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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.