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Finding the Fourth Proportional to 3,470.88, 5,203.44 and 1,279.20

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Solution

The fourth proportional to 3,470.88, 5,203.44 and 1,279.20 is: 1,917.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.88 : 5,203.44 = 1,279.20 : x
  2. Step 2: Convert to fraction form
    3,470.88/5,203.44 = 1,279.20/x
  3. Step 3: Cross multiply
    3,470.88x = 5,203.44 × 1,279.20
  4. Step 4: Simplify right side
    3,470.88x = 6,656,240.45
  5. Step 5: Solve for x
    x = 6,656,240.45/3,470.88
  6. Step 6: Final answer
    x = 1,917.74

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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.