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Finding the Fourth Proportional to 3,193.17, 4,789.98 and 853.17

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Solution

The fourth proportional to 3,193.17, 4,789.98 and 853.17 is: 1,279.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.17 : 4,789.98 = 853.17 : x
  2. Step 2: Convert to fraction form
    3,193.17/4,789.98 = 853.17/x
  3. Step 3: Cross multiply
    3,193.17x = 4,789.98 × 853.17
  4. Step 4: Simplify right side
    3,193.17x = 4,086,667.24
  5. Step 5: Solve for x
    x = 4,086,667.24/3,193.17
  6. Step 6: Final answer
    x = 1,279.82

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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.