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Finding the Fourth Proportional to 3,874.45, 5,812.12 and 1,534.66

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Solution

The fourth proportional to 3,874.45, 5,812.12 and 1,534.66 is: 2,302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.45 : 5,812.12 = 1,534.66 : x
  2. Step 2: Convert to fraction form
    3,874.45/5,812.12 = 1,534.66/x
  3. Step 3: Cross multiply
    3,874.45x = 5,812.12 × 1,534.66
  4. Step 4: Simplify right side
    3,874.45x = 8,919,626.88
  5. Step 5: Solve for x
    x = 8,919,626.88/3,874.45
  6. Step 6: Final answer
    x = 2,302.17

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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.