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Finding the Fourth Proportional to 2,617.70, 3,923.35 and 1,155.30

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Solution

The fourth proportional to 2,617.70, 3,923.35 and 1,155.30 is: 1,731.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.70 : 3,923.35 = 1,155.30 : x
  2. Step 2: Convert to fraction form
    2,617.70/3,923.35 = 1,155.30/x
  3. Step 3: Cross multiply
    2,617.70x = 3,923.35 × 1,155.30
  4. Step 4: Simplify right side
    2,617.70x = 4,532,646.26
  5. Step 5: Solve for x
    x = 4,532,646.26/2,617.70
  6. Step 6: Final answer
    x = 1,731.54

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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.