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Finding the Fourth Proportional to 2,098.04, 3,147.22 and 559

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Solution

The fourth proportional to 2,098.04, 3,147.22 and 559 is: 838.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.04 : 3,147.22 = 559 : x
  2. Step 2: Convert to fraction form
    2,098.04/3,147.22 = 559/x
  3. Step 3: Cross multiply
    2,098.04x = 3,147.22 × 559
  4. Step 4: Simplify right side
    2,098.04x = 1,759,295.98
  5. Step 5: Solve for x
    x = 1,759,295.98/2,098.04
  6. Step 6: Final answer
    x = 838.54

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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.