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Finding the Fourth Proportional to 2,406.08, 3,606.96 and 866

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Solution

The fourth proportional to 2,406.08, 3,606.96 and 866 is: 1,298.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.08 : 3,606.96 = 866 : x
  2. Step 2: Convert to fraction form
    2,406.08/3,606.96 = 866/x
  3. Step 3: Cross multiply
    2,406.08x = 3,606.96 × 866
  4. Step 4: Simplify right side
    2,406.08x = 3,123,627.36
  5. Step 5: Solve for x
    x = 3,123,627.36/2,406.08
  6. Step 6: Final answer
    x = 1,298.22

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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.