Home / 1,609.49-2,221.11-946.37

Finding the Fourth Proportional to 1,609.49, 2,221.11 and 946.37

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Solution

The fourth proportional to 1,609.49, 2,221.11 and 946.37 is: 1,306.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.49 : 2,221.11 = 946.37 : x
  2. Step 2: Convert to fraction form
    1,609.49/2,221.11 = 946.37/x
  3. Step 3: Cross multiply
    1,609.49x = 2,221.11 × 946.37
  4. Step 4: Simplify right side
    1,609.49x = 2,101,991.87
  5. Step 5: Solve for x
    x = 2,101,991.87/1,609.49
  6. Step 6: Final answer
    x = 1,306.00

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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.