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Finding the Fourth Proportional to 4,874.48, 7,311.50 and 3,906.76

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Solution

The fourth proportional to 4,874.48, 7,311.50 and 3,906.76 is: 5,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.48 : 7,311.50 = 3,906.76 : x
  2. Step 2: Convert to fraction form
    4,874.48/7,311.50 = 3,906.76/x
  3. Step 3: Cross multiply
    4,874.48x = 7,311.50 × 3,906.76
  4. Step 4: Simplify right side
    4,874.48x = 28,564,275.74
  5. Step 5: Solve for x
    x = 28,564,275.74/4,874.48
  6. Step 6: Final answer
    x = 5,859.96

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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.