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Finding the Fourth Proportional to 2,199.82, 3,298.66 and 813.81

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Solution

The fourth proportional to 2,199.82, 3,298.66 and 813.81 is: 1,220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.82 : 3,298.66 = 813.81 : x
  2. Step 2: Convert to fraction form
    2,199.82/3,298.66 = 813.81/x
  3. Step 3: Cross multiply
    2,199.82x = 3,298.66 × 813.81
  4. Step 4: Simplify right side
    2,199.82x = 2,684,482.49
  5. Step 5: Solve for x
    x = 2,684,482.49/2,199.82
  6. Step 6: Final answer
    x = 1,220.32

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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.