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Finding the Fourth Proportional to 1,161.96, 1,735.10 and 1,155.12

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Solution

The fourth proportional to 1,161.96, 1,735.10 and 1,155.12 is: 1,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.96 : 1,735.10 = 1,155.12 : x
  2. Step 2: Convert to fraction form
    1,161.96/1,735.10 = 1,155.12/x
  3. Step 3: Cross multiply
    1,161.96x = 1,735.10 × 1,155.12
  4. Step 4: Simplify right side
    1,161.96x = 2,004,242.94
  5. Step 5: Solve for x
    x = 2,004,242.94/1,161.96
  6. Step 6: Final answer
    x = 1,724.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.