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Finding the Fourth Proportional to 2,098.16, 3,147.22 and 538.16

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Solution

The fourth proportional to 2,098.16, 3,147.22 and 538.16 is: 807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.16 : 3,147.22 = 538.16 : x
  2. Step 2: Convert to fraction form
    2,098.16/3,147.22 = 538.16/x
  3. Step 3: Cross multiply
    2,098.16x = 3,147.22 × 538.16
  4. Step 4: Simplify right side
    2,098.16x = 1,693,692.85
  5. Step 5: Solve for x
    x = 1,693,692.85/2,098.16
  6. Step 6: Final answer
    x = 807.23

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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.