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Finding the Fourth Proportional to 30,381.68, 41,942.49 and 22,196.11

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Solution

The fourth proportional to 30,381.68, 41,942.49 and 22,196.11 is: 30,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,381.68 : 41,942.49 = 22,196.11 : x
  2. Step 2: Convert to fraction form
    30,381.68/41,942.49 = 22,196.11/x
  3. Step 3: Cross multiply
    30,381.68x = 41,942.49 × 22,196.11
  4. Step 4: Simplify right side
    30,381.68x = 930,959,801.02
  5. Step 5: Solve for x
    x = 930,959,801.02/30,381.68
  6. Step 6: Final answer
    x = 30,642.14

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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.