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Finding the Fourth Proportional to 22,452, 30,984.48 and 12,516

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Solution

The fourth proportional to 22,452, 30,984.48 and 12,516 is: 17,272.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,452 : 30,984.48 = 12,516 : x
  2. Step 2: Convert to fraction form
    22,452/30,984.48 = 12,516/x
  3. Step 3: Cross multiply
    22,452x = 30,984.48 × 12,516
  4. Step 4: Simplify right side
    22,452x = 387,801,751.68
  5. Step 5: Solve for x
    x = 387,801,751.68/22,452
  6. Step 6: Final answer
    x = 17,272.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.