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Finding the Fourth Proportional to 3,218.85, 4,829.18 and 1,659.99

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Solution

The fourth proportional to 3,218.85, 4,829.18 and 1,659.99 is: 2,490.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.85 : 4,829.18 = 1,659.99 : x
  2. Step 2: Convert to fraction form
    3,218.85/4,829.18 = 1,659.99/x
  3. Step 3: Cross multiply
    3,218.85x = 4,829.18 × 1,659.99
  4. Step 4: Simplify right side
    3,218.85x = 8,016,382.21
  5. Step 5: Solve for x
    x = 8,016,382.21/3,218.85
  6. Step 6: Final answer
    x = 2,490.45

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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.