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Finding the Fourth Proportional to 2,409.05, 3,613.82 and 654.09

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Solution

The fourth proportional to 2,409.05, 3,613.82 and 654.09 is: 981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.05 : 3,613.82 = 654.09 : x
  2. Step 2: Convert to fraction form
    2,409.05/3,613.82 = 654.09/x
  3. Step 3: Cross multiply
    2,409.05x = 3,613.82 × 654.09
  4. Step 4: Simplify right side
    2,409.05x = 2,363,765.16
  5. Step 5: Solve for x
    x = 2,363,765.16/2,409.05
  6. Step 6: Final answer
    x = 981.20

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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.