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Finding the Fourth Proportional to 2,849.01, 4,270.78 and 998.91

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Solution

The fourth proportional to 2,849.01, 4,270.78 and 998.91 is: 1,497.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.01 : 4,270.78 = 998.91 : x
  2. Step 2: Convert to fraction form
    2,849.01/4,270.78 = 998.91/x
  3. Step 3: Cross multiply
    2,849.01x = 4,270.78 × 998.91
  4. Step 4: Simplify right side
    2,849.01x = 4,266,124.85
  5. Step 5: Solve for x
    x = 4,266,124.85/2,849.01
  6. Step 6: Final answer
    x = 1,497.41

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1.5x scale

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.