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Finding the Fourth Proportional to 5,821.70, 8,035.65 and 3,959.78

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Solution

The fourth proportional to 5,821.70, 8,035.65 and 3,959.78 is: 5,465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.70 : 8,035.65 = 3,959.78 : x
  2. Step 2: Convert to fraction form
    5,821.70/8,035.65 = 3,959.78/x
  3. Step 3: Cross multiply
    5,821.70x = 8,035.65 × 3,959.78
  4. Step 4: Simplify right side
    5,821.70x = 31,819,406.16
  5. Step 5: Solve for x
    x = 31,819,406.16/5,821.70
  6. Step 6: Final answer
    x = 5,465.66

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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.