Home / 1,586.49-2,189.36-923.79

Finding the Fourth Proportional to 1,586.49, 2,189.36 and 923.79

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Solution

The fourth proportional to 1,586.49, 2,189.36 and 923.79 is: 1,274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.49 : 2,189.36 = 923.79 : x
  2. Step 2: Convert to fraction form
    1,586.49/2,189.36 = 923.79/x
  3. Step 3: Cross multiply
    1,586.49x = 2,189.36 × 923.79
  4. Step 4: Simplify right side
    1,586.49x = 2,022,504.26
  5. Step 5: Solve for x
    x = 2,022,504.26/1,586.49
  6. Step 6: Final answer
    x = 1,274.83

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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.