Home / 5,828-8,041.28-3,841.76

Finding the Fourth Proportional to 5,828, 8,041.28 and 3,841.76

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Solution

The fourth proportional to 5,828, 8,041.28 and 3,841.76 is: 5,300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828 : 8,041.28 = 3,841.76 : x
  2. Step 2: Convert to fraction form
    5,828/8,041.28 = 3,841.76/x
  3. Step 3: Cross multiply
    5,828x = 8,041.28 × 3,841.76
  4. Step 4: Simplify right side
    5,828x = 30,892,667.85
  5. Step 5: Solve for x
    x = 30,892,667.85/5,828
  6. Step 6: Final answer
    x = 5,300.73

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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.