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Finding the Fourth Proportional to 3,470.40, 5,208.12 and 1,279.44

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Solution

The fourth proportional to 3,470.40, 5,208.12 and 1,279.44 is: 1,920.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.40 : 5,208.12 = 1,279.44 : x
  2. Step 2: Convert to fraction form
    3,470.40/5,208.12 = 1,279.44/x
  3. Step 3: Cross multiply
    3,470.40x = 5,208.12 × 1,279.44
  4. Step 4: Simplify right side
    3,470.40x = 6,663,477.05
  5. Step 5: Solve for x
    x = 6,663,477.05/3,470.40
  6. Step 6: Final answer
    x = 1,920.09

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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.