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Finding the Fourth Proportional to 22,951.46, 31,674.22 and 12,879.38

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Solution

The fourth proportional to 22,951.46, 31,674.22 and 12,879.38 is: 17,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951.46 : 31,674.22 = 12,879.38 : x
  2. Step 2: Convert to fraction form
    22,951.46/31,674.22 = 12,879.38/x
  3. Step 3: Cross multiply
    22,951.46x = 31,674.22 × 12,879.38
  4. Step 4: Simplify right side
    22,951.46x = 407,944,125.01
  5. Step 5: Solve for x
    x = 407,944,125.01/22,951.46
  6. Step 6: Final answer
    x = 17,774.22

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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.