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Finding the Fourth Proportional to 3,812.53, 5,720.16 and 2,770.77

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Solution

The fourth proportional to 3,812.53, 5,720.16 and 2,770.77 is: 4,157.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.53 : 5,720.16 = 2,770.77 : x
  2. Step 2: Convert to fraction form
    3,812.53/5,720.16 = 2,770.77/x
  3. Step 3: Cross multiply
    3,812.53x = 5,720.16 × 2,770.77
  4. Step 4: Simplify right side
    3,812.53x = 15,849,247.72
  5. Step 5: Solve for x
    x = 15,849,247.72/3,812.53
  6. Step 6: Final answer
    x = 4,157.15

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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.