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Finding the Fourth Proportional to 22,129.70, 33,206.69 and 10,442.61

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Solution

The fourth proportional to 22,129.70, 33,206.69 and 10,442.61 is: 15,669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,129.70 : 33,206.69 = 10,442.61 : x
  2. Step 2: Convert to fraction form
    22,129.70/33,206.69 = 10,442.61/x
  3. Step 3: Cross multiply
    22,129.70x = 33,206.69 × 10,442.61
  4. Step 4: Simplify right side
    22,129.70x = 346,764,539.17
  5. Step 5: Solve for x
    x = 346,764,539.17/22,129.70
  6. Step 6: Final answer
    x = 15,669.65

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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.