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Finding the Fourth Proportional to 2,108.28, 3,161.94 and 569.40

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Solution

The fourth proportional to 2,108.28, 3,161.94 and 569.40 is: 853.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.28 : 3,161.94 = 569.40 : x
  2. Step 2: Convert to fraction form
    2,108.28/3,161.94 = 569.40/x
  3. Step 3: Cross multiply
    2,108.28x = 3,161.94 × 569.40
  4. Step 4: Simplify right side
    2,108.28x = 1,800,408.64
  5. Step 5: Solve for x
    x = 1,800,408.64/2,108.28
  6. Step 6: Final answer
    x = 853.97

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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.