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Finding the Fourth Proportional to 2,098.40, 3,147.55 and 538.37

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Solution

The fourth proportional to 2,098.40, 3,147.55 and 538.37 is: 807.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.40 : 3,147.55 = 538.37 : x
  2. Step 2: Convert to fraction form
    2,098.40/3,147.55 = 538.37/x
  3. Step 3: Cross multiply
    2,098.40x = 3,147.55 × 538.37
  4. Step 4: Simplify right side
    2,098.40x = 1,694,553.02
  5. Step 5: Solve for x
    x = 1,694,553.02/2,098.40
  6. Step 6: Final answer
    x = 807.55

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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.