Home / 1,942.08-2,680-1,057.86

Finding the Fourth Proportional to 1,942.08, 2,680 and 1,057.86

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Solution

The fourth proportional to 1,942.08, 2,680 and 1,057.86 is: 1,459.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.08 : 2,680 = 1,057.86 : x
  2. Step 2: Convert to fraction form
    1,942.08/2,680 = 1,057.86/x
  3. Step 3: Cross multiply
    1,942.08x = 2,680 × 1,057.86
  4. Step 4: Simplify right side
    1,942.08x = 2,835,064.80
  5. Step 5: Solve for x
    x = 2,835,064.80/1,942.08
  6. Step 6: Final answer
    x = 1,459.81

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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.