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Finding the Fourth Proportional to 22,305.88, 30,782.07 and 12,874.44

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Solution

The fourth proportional to 22,305.88, 30,782.07 and 12,874.44 is: 17,766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,305.88 : 30,782.07 = 12,874.44 : x
  2. Step 2: Convert to fraction form
    22,305.88/30,782.07 = 12,874.44/x
  3. Step 3: Cross multiply
    22,305.88x = 30,782.07 × 12,874.44
  4. Step 4: Simplify right side
    22,305.88x = 396,301,913.29
  5. Step 5: Solve for x
    x = 396,301,913.29/22,305.88
  6. Step 6: Final answer
    x = 17,766.70

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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.