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Finding the Fourth Proportional to 3,208.98, 4,813.81 and 869.01

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Solution

The fourth proportional to 3,208.98, 4,813.81 and 869.01 is: 1,303.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.98 : 4,813.81 = 869.01 : x
  2. Step 2: Convert to fraction form
    3,208.98/4,813.81 = 869.01/x
  3. Step 3: Cross multiply
    3,208.98x = 4,813.81 × 869.01
  4. Step 4: Simplify right side
    3,208.98x = 4,183,249.03
  5. Step 5: Solve for x
    x = 4,183,249.03/3,208.98
  6. Step 6: Final answer
    x = 1,303.61

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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.