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Finding the Fourth Proportional to 2,698.35, 4,047.52 and 849.62

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Solution

The fourth proportional to 2,698.35, 4,047.52 and 849.62 is: 1,274.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.35 : 4,047.52 = 849.62 : x
  2. Step 2: Convert to fraction form
    2,698.35/4,047.52 = 849.62/x
  3. Step 3: Cross multiply
    2,698.35x = 4,047.52 × 849.62
  4. Step 4: Simplify right side
    2,698.35x = 3,438,853.94
  5. Step 5: Solve for x
    x = 3,438,853.94/2,698.35
  6. Step 6: Final answer
    x = 1,274.43

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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.