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Finding the Fourth Proportional to 5,219.15, 7,821.90 and 4,559.43

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Solution

The fourth proportional to 5,219.15, 7,821.90 and 4,559.43 is: 6,833.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.15 : 7,821.90 = 4,559.43 : x
  2. Step 2: Convert to fraction form
    5,219.15/7,821.90 = 4,559.43/x
  3. Step 3: Cross multiply
    5,219.15x = 7,821.90 × 4,559.43
  4. Step 4: Simplify right side
    5,219.15x = 35,663,434.85
  5. Step 5: Solve for x
    x = 35,663,434.85/5,219.15
  6. Step 6: Final answer
    x = 6,833.19

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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.