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Finding the Fourth Proportional to 3,118.82, 4,678.17 and 1,804.55

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Solution

The fourth proportional to 3,118.82, 4,678.17 and 1,804.55 is: 2,706.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.82 : 4,678.17 = 1,804.55 : x
  2. Step 2: Convert to fraction form
    3,118.82/4,678.17 = 1,804.55/x
  3. Step 3: Cross multiply
    3,118.82x = 4,678.17 × 1,804.55
  4. Step 4: Simplify right side
    3,118.82x = 8,441,968.28
  5. Step 5: Solve for x
    x = 8,441,968.28/3,118.82
  6. Step 6: Final answer
    x = 2,706.79

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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.