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Finding the Fourth Proportional to 2,617.78, 3,928.03 and 1,157.94

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Solution

The fourth proportional to 2,617.78, 3,928.03 and 1,157.94 is: 1,737.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.78 : 3,928.03 = 1,157.94 : x
  2. Step 2: Convert to fraction form
    2,617.78/3,928.03 = 1,157.94/x
  3. Step 3: Cross multiply
    2,617.78x = 3,928.03 × 1,157.94
  4. Step 4: Simplify right side
    2,617.78x = 4,548,423.06
  5. Step 5: Solve for x
    x = 4,548,423.06/2,617.78
  6. Step 6: Final answer
    x = 1,737.51

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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.