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Finding the Fourth Proportional to 22,915.44, 31,623.84 and 12,843.42

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Solution

The fourth proportional to 22,915.44, 31,623.84 and 12,843.42 is: 17,724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,915.44 : 31,623.84 = 12,843.42 : x
  2. Step 2: Convert to fraction form
    22,915.44/31,623.84 = 12,843.42/x
  3. Step 3: Cross multiply
    22,915.44x = 31,623.84 × 12,843.42
  4. Step 4: Simplify right side
    22,915.44x = 406,158,259.13
  5. Step 5: Solve for x
    x = 406,158,259.13/22,915.44
  6. Step 6: Final answer
    x = 17,724.22

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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.