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Finding the Fourth Proportional to 5,394.24, 8,086.24 and 2,109.44

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Solution

The fourth proportional to 5,394.24, 8,086.24 and 2,109.44 is: 3,162.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394.24 : 8,086.24 = 2,109.44 : x
  2. Step 2: Convert to fraction form
    5,394.24/8,086.24 = 2,109.44/x
  3. Step 3: Cross multiply
    5,394.24x = 8,086.24 × 2,109.44
  4. Step 4: Simplify right side
    5,394.24x = 17,057,438.11
  5. Step 5: Solve for x
    x = 17,057,438.11/5,394.24
  6. Step 6: Final answer
    x = 3,162.16

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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.