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Finding the Fourth Proportional to 3,463.50, 5,195.25 and 1,155

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Solution

The fourth proportional to 3,463.50, 5,195.25 and 1,155 is: 1,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.50 : 5,195.25 = 1,155 : x
  2. Step 2: Convert to fraction form
    3,463.50/5,195.25 = 1,155/x
  3. Step 3: Cross multiply
    3,463.50x = 5,195.25 × 1,155
  4. Step 4: Simplify right side
    3,463.50x = 6,000,513.75
  5. Step 5: Solve for x
    x = 6,000,513.75/3,463.50
  6. Step 6: Final answer
    x = 1,732.50

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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.