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Finding the Fourth Proportional to 3,146.65, 4,719.68 and 1,391.68

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Solution

The fourth proportional to 3,146.65, 4,719.68 and 1,391.68 is: 2,087.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.65 : 4,719.68 = 1,391.68 : x
  2. Step 2: Convert to fraction form
    3,146.65/4,719.68 = 1,391.68/x
  3. Step 3: Cross multiply
    3,146.65x = 4,719.68 × 1,391.68
  4. Step 4: Simplify right side
    3,146.65x = 6,568,296.25
  5. Step 5: Solve for x
    x = 6,568,296.25/3,146.65
  6. Step 6: Final answer
    x = 2,087.39

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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.