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Finding the Fourth Proportional to 3,469, 4,780.62 and 2,419.24

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Solution

The fourth proportional to 3,469, 4,780.62 and 2,419.24 is: 3,333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469 : 4,780.62 = 2,419.24 : x
  2. Step 2: Convert to fraction form
    3,469/4,780.62 = 2,419.24/x
  3. Step 3: Cross multiply
    3,469x = 4,780.62 × 2,419.24
  4. Step 4: Simplify right side
    3,469x = 11,565,467.13
  5. Step 5: Solve for x
    x = 11,565,467.13/3,469
  6. Step 6: Final answer
    x = 3,333.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.