Home / 1,586.19-2,377.85-900.75

Finding the Fourth Proportional to 1,586.19, 2,377.85 and 900.75

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Solution

The fourth proportional to 1,586.19, 2,377.85 and 900.75 is: 1,350.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.19 : 2,377.85 = 900.75 : x
  2. Step 2: Convert to fraction form
    1,586.19/2,377.85 = 900.75/x
  3. Step 3: Cross multiply
    1,586.19x = 2,377.85 × 900.75
  4. Step 4: Simplify right side
    1,586.19x = 2,141,843.88
  5. Step 5: Solve for x
    x = 2,141,843.88/1,586.19
  6. Step 6: Final answer
    x = 1,350.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.