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Finding the Fourth Proportional to 22,640.20, 31,245.78 and 13,208.20

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Solution

The fourth proportional to 22,640.20, 31,245.78 and 13,208.20 is: 18,228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,640.20 : 31,245.78 = 13,208.20 : x
  2. Step 2: Convert to fraction form
    22,640.20/31,245.78 = 13,208.20/x
  3. Step 3: Cross multiply
    22,640.20x = 31,245.78 × 13,208.20
  4. Step 4: Simplify right side
    22,640.20x = 412,700,511.40
  5. Step 5: Solve for x
    x = 412,700,511.40/22,640.20
  6. Step 6: Final answer
    x = 18,228.66

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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.