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Finding the Fourth Proportional to 22,602.60, 33,920.10 and 12,731.40

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Solution

The fourth proportional to 22,602.60, 33,920.10 and 12,731.40 is: 19,106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,602.60 : 33,920.10 = 12,731.40 : x
  2. Step 2: Convert to fraction form
    22,602.60/33,920.10 = 12,731.40/x
  3. Step 3: Cross multiply
    22,602.60x = 33,920.10 × 12,731.40
  4. Step 4: Simplify right side
    22,602.60x = 431,850,361.14
  5. Step 5: Solve for x
    x = 431,850,361.14/22,602.60
  6. Step 6: Final answer
    x = 19,106.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.