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Finding the Fourth Proportional to 2,762.46, 4,143.60 and 1,118.97

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Solution

The fourth proportional to 2,762.46, 4,143.60 and 1,118.97 is: 1,678.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.46 : 4,143.60 = 1,118.97 : x
  2. Step 2: Convert to fraction form
    2,762.46/4,143.60 = 1,118.97/x
  3. Step 3: Cross multiply
    2,762.46x = 4,143.60 × 1,118.97
  4. Step 4: Simplify right side
    2,762.46x = 4,636,564.09
  5. Step 5: Solve for x
    x = 4,636,564.09/2,762.46
  6. Step 6: Final answer
    x = 1,678.42

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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.