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Finding the Fourth Proportional to 2,688.80, 4,033.19 and 841.54

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Solution

The fourth proportional to 2,688.80, 4,033.19 and 841.54 is: 1,262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.80 : 4,033.19 = 841.54 : x
  2. Step 2: Convert to fraction form
    2,688.80/4,033.19 = 841.54/x
  3. Step 3: Cross multiply
    2,688.80x = 4,033.19 × 841.54
  4. Step 4: Simplify right side
    2,688.80x = 3,394,090.30
  5. Step 5: Solve for x
    x = 3,394,090.30/2,688.80
  6. Step 6: Final answer
    x = 1,262.31

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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.