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Finding the Fourth Proportional to 2,698.88, 4,048.34 and 849.92

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Solution

The fourth proportional to 2,698.88, 4,048.34 and 849.92 is: 1,274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.88 : 4,048.34 = 849.92 : x
  2. Step 2: Convert to fraction form
    2,698.88/4,048.34 = 849.92/x
  3. Step 3: Cross multiply
    2,698.88x = 4,048.34 × 849.92
  4. Step 4: Simplify right side
    2,698.88x = 3,440,765.13
  5. Step 5: Solve for x
    x = 3,440,765.13/2,698.88
  6. Step 6: Final answer
    x = 1,274.89

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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.