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Finding the Fourth Proportional to 3,171.09, 4,756.66 and 862.59

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Solution

The fourth proportional to 3,171.09, 4,756.66 and 862.59 is: 1,293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.09 : 4,756.66 = 862.59 : x
  2. Step 2: Convert to fraction form
    3,171.09/4,756.66 = 862.59/x
  3. Step 3: Cross multiply
    3,171.09x = 4,756.66 × 862.59
  4. Step 4: Simplify right side
    3,171.09x = 4,103,063.03
  5. Step 5: Solve for x
    x = 4,103,063.03/3,171.09
  6. Step 6: Final answer
    x = 1,293.90

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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.