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Finding the Fourth Proportional to 22,118.25, 30,523.19 and 12,182.25

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Solution

The fourth proportional to 22,118.25, 30,523.19 and 12,182.25 is: 16,811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,118.25 : 30,523.19 = 12,182.25 : x
  2. Step 2: Convert to fraction form
    22,118.25/30,523.19 = 12,182.25/x
  3. Step 3: Cross multiply
    22,118.25x = 30,523.19 × 12,182.25
  4. Step 4: Simplify right side
    22,118.25x = 371,841,070.47
  5. Step 5: Solve for x
    x = 371,841,070.47/22,118.25
  6. Step 6: Final answer
    x = 16,811.51

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1.5x scale

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.