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Finding the Fourth Proportional to 22,620.84, 31,244 and 19,780.96

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Solution

The fourth proportional to 22,620.84, 31,244 and 19,780.96 is: 27,321.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,620.84 : 31,244 = 19,780.96 : x
  2. Step 2: Convert to fraction form
    22,620.84/31,244 = 19,780.96/x
  3. Step 3: Cross multiply
    22,620.84x = 31,244 × 19,780.96
  4. Step 4: Simplify right side
    22,620.84x = 618,036,314.24
  5. Step 5: Solve for x
    x = 618,036,314.24/22,620.84
  6. Step 6: Final answer
    x = 27,321.55

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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.