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Finding the Fourth Proportional to 3,803.63, 5,705.15 and 1,338.62

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Solution

The fourth proportional to 3,803.63, 5,705.15 and 1,338.62 is: 2,007.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.63 : 5,705.15 = 1,338.62 : x
  2. Step 2: Convert to fraction form
    3,803.63/5,705.15 = 1,338.62/x
  3. Step 3: Cross multiply
    3,803.63x = 5,705.15 × 1,338.62
  4. Step 4: Simplify right side
    3,803.63x = 7,636,992.67
  5. Step 5: Solve for x
    x = 7,636,992.67/3,803.63
  6. Step 6: Final answer
    x = 2,007.82

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Why These Related Problems?

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