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Finding the Fourth Proportional to 3,865.91, 5,796.34 and 2,545.67

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Solution

The fourth proportional to 3,865.91, 5,796.34 and 2,545.67 is: 3,816.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.91 : 5,796.34 = 2,545.67 : x
  2. Step 2: Convert to fraction form
    3,865.91/5,796.34 = 2,545.67/x
  3. Step 3: Cross multiply
    3,865.91x = 5,796.34 × 2,545.67
  4. Step 4: Simplify right side
    3,865.91x = 14,755,543.05
  5. Step 5: Solve for x
    x = 14,755,543.05/3,865.91
  6. Step 6: Final answer
    x = 3,816.84

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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.