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Finding the Fourth Proportional to 3,471.65, 5,208.30 and 1,131.67

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Solution

The fourth proportional to 3,471.65, 5,208.30 and 1,131.67 is: 1,697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.65 : 5,208.30 = 1,131.67 : x
  2. Step 2: Convert to fraction form
    3,471.65/5,208.30 = 1,131.67/x
  3. Step 3: Cross multiply
    3,471.65x = 5,208.30 × 1,131.67
  4. Step 4: Simplify right side
    3,471.65x = 5,894,076.86
  5. Step 5: Solve for x
    x = 5,894,076.86/3,471.65
  6. Step 6: Final answer
    x = 1,697.77

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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.