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Finding the Fourth Proportional to 22,991.31, 31,728.95 and 12,919.73

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Solution

The fourth proportional to 22,991.31, 31,728.95 and 12,919.73 is: 17,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,991.31 : 31,728.95 = 12,919.73 : x
  2. Step 2: Convert to fraction form
    22,991.31/31,728.95 = 12,919.73/x
  3. Step 3: Cross multiply
    22,991.31x = 31,728.95 × 12,919.73
  4. Step 4: Simplify right side
    22,991.31x = 409,929,243.94
  5. Step 5: Solve for x
    x = 409,929,243.94/22,991.31
  6. Step 6: Final answer
    x = 17,829.75

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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.