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Finding the Fourth Proportional to 3,208.97, 4,809.79 and 1,358.93

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Solution

The fourth proportional to 3,208.97, 4,809.79 and 1,358.93 is: 2,036.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.97 : 4,809.79 = 1,358.93 : x
  2. Step 2: Convert to fraction form
    3,208.97/4,809.79 = 1,358.93/x
  3. Step 3: Cross multiply
    3,208.97x = 4,809.79 × 1,358.93
  4. Step 4: Simplify right side
    3,208.97x = 6,536,167.92
  5. Step 5: Solve for x
    x = 6,536,167.92/3,208.97
  6. Step 6: Final answer
    x = 2,036.84

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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.