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Finding the Fourth Proportional to 22,991.73, 31,729.34 and 12,922.11

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Solution

The fourth proportional to 22,991.73, 31,729.34 and 12,922.11 is: 17,832.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,991.73 : 31,729.34 = 12,922.11 : x
  2. Step 2: Convert to fraction form
    22,991.73/31,729.34 = 12,922.11/x
  3. Step 3: Cross multiply
    22,991.73x = 31,729.34 × 12,922.11
  4. Step 4: Simplify right side
    22,991.73x = 410,009,957.10
  5. Step 5: Solve for x
    x = 410,009,957.10/22,991.73
  6. Step 6: Final answer
    x = 17,832.93

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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.