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Finding the Fourth Proportional to 2,641.83, 3,963.05 and 694.07

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Solution

The fourth proportional to 2,641.83, 3,963.05 and 694.07 is: 1,041.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.83 : 3,963.05 = 694.07 : x
  2. Step 2: Convert to fraction form
    2,641.83/3,963.05 = 694.07/x
  3. Step 3: Cross multiply
    2,641.83x = 3,963.05 × 694.07
  4. Step 4: Simplify right side
    2,641.83x = 2,750,630.64
  5. Step 5: Solve for x
    x = 2,750,630.64/2,641.83
  6. Step 6: Final answer
    x = 1,041.18

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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.