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Finding the Fourth Proportional to 22,427, 30,950.22 and 12,491

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Solution

The fourth proportional to 22,427, 30,950.22 and 12,491 is: 17,238.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,427 : 30,950.22 = 12,491 : x
  2. Step 2: Convert to fraction form
    22,427/30,950.22 = 12,491/x
  3. Step 3: Cross multiply
    22,427x = 30,950.22 × 12,491
  4. Step 4: Simplify right side
    22,427x = 386,599,198.02
  5. Step 5: Solve for x
    x = 386,599,198.02/22,427
  6. Step 6: Final answer
    x = 17,238.11

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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.