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Finding the Fourth Proportional to 3,930.71, 5,894.65 and 1,431.12

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Solution

The fourth proportional to 3,930.71, 5,894.65 and 1,431.12 is: 2,146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.71 : 5,894.65 = 1,431.12 : x
  2. Step 2: Convert to fraction form
    3,930.71/5,894.65 = 1,431.12/x
  3. Step 3: Cross multiply
    3,930.71x = 5,894.65 × 1,431.12
  4. Step 4: Simplify right side
    3,930.71x = 8,435,938.22
  5. Step 5: Solve for x
    x = 8,435,938.22/3,930.71
  6. Step 6: Final answer
    x = 2,146.16

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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.