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Finding the Fourth Proportional to 2,214.73, 3,322.70 and 654.81

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Solution

The fourth proportional to 2,214.73, 3,322.70 and 654.81 is: 982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.73 : 3,322.70 = 654.81 : x
  2. Step 2: Convert to fraction form
    2,214.73/3,322.70 = 654.81/x
  3. Step 3: Cross multiply
    2,214.73x = 3,322.70 × 654.81
  4. Step 4: Simplify right side
    2,214.73x = 2,175,737.19
  5. Step 5: Solve for x
    x = 2,175,737.19/2,214.73
  6. Step 6: Final answer
    x = 982.39

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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.