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Finding the Fourth Proportional to 3,570.70, 5,356.70 and 1,231.04

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Solution

The fourth proportional to 3,570.70, 5,356.70 and 1,231.04 is: 1,846.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.70 : 5,356.70 = 1,231.04 : x
  2. Step 2: Convert to fraction form
    3,570.70/5,356.70 = 1,231.04/x
  3. Step 3: Cross multiply
    3,570.70x = 5,356.70 × 1,231.04
  4. Step 4: Simplify right side
    3,570.70x = 6,594,311.97
  5. Step 5: Solve for x
    x = 6,594,311.97/3,570.70
  6. Step 6: Final answer
    x = 1,846.78

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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.