Home / 1,760.23-2,642.32-938.28

Finding the Fourth Proportional to 1,760.23, 2,642.32 and 938.28

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Solution

The fourth proportional to 1,760.23, 2,642.32 and 938.28 is: 1,408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.23 : 2,642.32 = 938.28 : x
  2. Step 2: Convert to fraction form
    1,760.23/2,642.32 = 938.28/x
  3. Step 3: Cross multiply
    1,760.23x = 2,642.32 × 938.28
  4. Step 4: Simplify right side
    1,760.23x = 2,479,247.09
  5. Step 5: Solve for x
    x = 2,479,247.09/1,760.23
  6. Step 6: Final answer
    x = 1,408.48

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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.