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Finding the Fourth Proportional to 2,098.23, 3,147.35 and 559.23

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Solution

The fourth proportional to 2,098.23, 3,147.35 and 559.23 is: 838.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.23 : 3,147.35 = 559.23 : x
  2. Step 2: Convert to fraction form
    2,098.23/3,147.35 = 559.23/x
  3. Step 3: Cross multiply
    2,098.23x = 3,147.35 × 559.23
  4. Step 4: Simplify right side
    2,098.23x = 1,760,092.54
  5. Step 5: Solve for x
    x = 1,760,092.54/2,098.23
  6. Step 6: Final answer
    x = 838.85

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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.