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Finding the Fourth Proportional to 3,288.68, 4,934.58 and 1,645.40

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Solution

The fourth proportional to 3,288.68, 4,934.58 and 1,645.40 is: 2,468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.68 : 4,934.58 = 1,645.40 : x
  2. Step 2: Convert to fraction form
    3,288.68/4,934.58 = 1,645.40/x
  3. Step 3: Cross multiply
    3,288.68x = 4,934.58 × 1,645.40
  4. Step 4: Simplify right side
    3,288.68x = 8,119,357.93
  5. Step 5: Solve for x
    x = 8,119,357.93/3,288.68
  6. Step 6: Final answer
    x = 2,468.88

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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.