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Finding the Fourth Proportional to 22,940.84, 31,658.70 and 13,380.46

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Solution

The fourth proportional to 22,940.84, 31,658.70 and 13,380.46 is: 18,465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,940.84 : 31,658.70 = 13,380.46 : x
  2. Step 2: Convert to fraction form
    22,940.84/31,658.70 = 13,380.46/x
  3. Step 3: Cross multiply
    22,940.84x = 31,658.70 × 13,380.46
  4. Step 4: Simplify right side
    22,940.84x = 423,607,969.00
  5. Step 5: Solve for x
    x = 423,607,969.00/22,940.84
  6. Step 6: Final answer
    x = 18,465.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.