Home / 1,057.10-1,586.01-936.86

Finding the Fourth Proportional to 1,057.10, 1,586.01 and 936.86

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Solution

The fourth proportional to 1,057.10, 1,586.01 and 936.86 is: 1,405.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.10 : 1,586.01 = 936.86 : x
  2. Step 2: Convert to fraction form
    1,057.10/1,586.01 = 936.86/x
  3. Step 3: Cross multiply
    1,057.10x = 1,586.01 × 936.86
  4. Step 4: Simplify right side
    1,057.10x = 1,485,869.33
  5. Step 5: Solve for x
    x = 1,485,869.33/1,057.10
  6. Step 6: Final answer
    x = 1,405.61

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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.