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Finding the Fourth Proportional to 2,698.17, 4,047.80 and 849.75

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Solution

The fourth proportional to 2,698.17, 4,047.80 and 849.75 is: 1,274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.17 : 4,047.80 = 849.75 : x
  2. Step 2: Convert to fraction form
    2,698.17/4,047.80 = 849.75/x
  3. Step 3: Cross multiply
    2,698.17x = 4,047.80 × 849.75
  4. Step 4: Simplify right side
    2,698.17x = 3,439,618.05
  5. Step 5: Solve for x
    x = 3,439,618.05/2,698.17
  6. Step 6: Final answer
    x = 1,274.80

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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.