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Finding the Fourth Proportional to 3,161.71, 4,739.88 and 1,311.67

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Solution

The fourth proportional to 3,161.71, 4,739.88 and 1,311.67 is: 1,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.71 : 4,739.88 = 1,311.67 : x
  2. Step 2: Convert to fraction form
    3,161.71/4,739.88 = 1,311.67/x
  3. Step 3: Cross multiply
    3,161.71x = 4,739.88 × 1,311.67
  4. Step 4: Simplify right side
    3,161.71x = 6,217,151.47
  5. Step 5: Solve for x
    x = 6,217,151.47/3,161.71
  6. Step 6: Final answer
    x = 1,966.39

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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.