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Finding the Fourth Proportional to 22,302.54, 30,778.29 and 12,231

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Solution

The fourth proportional to 22,302.54, 30,778.29 and 12,231 is: 16,879.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302.54 : 30,778.29 = 12,231 : x
  2. Step 2: Convert to fraction form
    22,302.54/30,778.29 = 12,231/x
  3. Step 3: Cross multiply
    22,302.54x = 30,778.29 × 12,231
  4. Step 4: Simplify right side
    22,302.54x = 376,449,264.99
  5. Step 5: Solve for x
    x = 376,449,264.99/22,302.54
  6. Step 6: Final answer
    x = 16,879.21

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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.