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Finding the Fourth Proportional to 22,297.12, 30,767.52 and 12,868.80

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Solution

The fourth proportional to 22,297.12, 30,767.52 and 12,868.80 is: 17,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,297.12 : 30,767.52 = 12,868.80 : x
  2. Step 2: Convert to fraction form
    22,297.12/30,767.52 = 12,868.80/x
  3. Step 3: Cross multiply
    22,297.12x = 30,767.52 × 12,868.80
  4. Step 4: Simplify right side
    22,297.12x = 395,941,061.38
  5. Step 5: Solve for x
    x = 395,941,061.38/22,297.12
  6. Step 6: Final answer
    x = 17,757.50

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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.