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Finding the Fourth Proportional to 22,991.58, 31,728.94 and 12,919.42

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Solution

The fourth proportional to 22,991.58, 31,728.94 and 12,919.42 is: 17,829.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,991.58 : 31,728.94 = 12,919.42 : x
  2. Step 2: Convert to fraction form
    22,991.58/31,728.94 = 12,919.42/x
  3. Step 3: Cross multiply
    22,991.58x = 31,728.94 × 12,919.42
  4. Step 4: Simplify right side
    22,991.58x = 409,919,375.67
  5. Step 5: Solve for x
    x = 409,919,375.67/22,991.58
  6. Step 6: Final answer
    x = 17,829.11

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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.