Home / 1,586.25-2,189.30-923.27

Finding the Fourth Proportional to 1,586.25, 2,189.30 and 923.27

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Solution

The fourth proportional to 1,586.25, 2,189.30 and 923.27 is: 1,274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.25 : 2,189.30 = 923.27 : x
  2. Step 2: Convert to fraction form
    1,586.25/2,189.30 = 923.27/x
  3. Step 3: Cross multiply
    1,586.25x = 2,189.30 × 923.27
  4. Step 4: Simplify right side
    1,586.25x = 2,021,299.45
  5. Step 5: Solve for x
    x = 2,021,299.45/1,586.25
  6. Step 6: Final answer
    x = 1,274.26

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1.5x scale

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.