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Finding the Fourth Proportional to 3,470.34, 5,207.13 and 1,279.83

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Solution

The fourth proportional to 3,470.34, 5,207.13 and 1,279.83 is: 1,920.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.34 : 5,207.13 = 1,279.83 : x
  2. Step 2: Convert to fraction form
    3,470.34/5,207.13 = 1,279.83/x
  3. Step 3: Cross multiply
    3,470.34x = 5,207.13 × 1,279.83
  4. Step 4: Simplify right side
    3,470.34x = 6,664,241.19
  5. Step 5: Solve for x
    x = 6,664,241.19/3,470.34
  6. Step 6: Final answer
    x = 1,920.34

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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.