Home / 3,723.76-5,586-1,126.24

Finding the Fourth Proportional to 3,723.76, 5,586 and 1,126.24

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Solution

The fourth proportional to 3,723.76, 5,586 and 1,126.24 is: 1,689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.76 : 5,586 = 1,126.24 : x
  2. Step 2: Convert to fraction form
    3,723.76/5,586 = 1,126.24/x
  3. Step 3: Cross multiply
    3,723.76x = 5,586 × 1,126.24
  4. Step 4: Simplify right side
    3,723.76x = 6,291,176.64
  5. Step 5: Solve for x
    x = 6,291,176.64/3,723.76
  6. Step 6: Final answer
    x = 1,689.47

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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.