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Finding the Fourth Proportional to 5,398.40, 8,099.10 and 2,112.42

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Solution

The fourth proportional to 5,398.40, 8,099.10 and 2,112.42 is: 3,169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.40 : 8,099.10 = 2,112.42 : x
  2. Step 2: Convert to fraction form
    5,398.40/8,099.10 = 2,112.42/x
  3. Step 3: Cross multiply
    5,398.40x = 8,099.10 × 2,112.42
  4. Step 4: Simplify right side
    5,398.40x = 17,108,700.82
  5. Step 5: Solve for x
    x = 17,108,700.82/5,398.40
  6. Step 6: Final answer
    x = 3,169.22

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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.