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Finding the Fourth Proportional to 2,326, 3,206.05 and 1,618.87

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Solution

The fourth proportional to 2,326, 3,206.05 and 1,618.87 is: 2,231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326 : 3,206.05 = 1,618.87 : x
  2. Step 2: Convert to fraction form
    2,326/3,206.05 = 1,618.87/x
  3. Step 3: Cross multiply
    2,326x = 3,206.05 × 1,618.87
  4. Step 4: Simplify right side
    2,326x = 5,190,178.16
  5. Step 5: Solve for x
    x = 5,190,178.16/2,326
  6. Step 6: Final answer
    x = 2,231.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.