Home / 1,586.20-2,188.96-923.28

Finding the Fourth Proportional to 1,586.20, 2,188.96 and 923.28

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Solution

The fourth proportional to 1,586.20, 2,188.96 and 923.28 is: 1,274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.20 : 2,188.96 = 923.28 : x
  2. Step 2: Convert to fraction form
    1,586.20/2,188.96 = 923.28/x
  3. Step 3: Cross multiply
    1,586.20x = 2,188.96 × 923.28
  4. Step 4: Simplify right side
    1,586.20x = 2,021,022.99
  5. Step 5: Solve for x
    x = 2,021,022.99/1,586.20
  6. Step 6: Final answer
    x = 1,274.13

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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.