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Finding the Fourth Proportional to 7,793, 11,689.39 and 2,860.71

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Solution

The fourth proportional to 7,793, 11,689.39 and 2,860.71 is: 4,291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793 : 11,689.39 = 2,860.71 : x
  2. Step 2: Convert to fraction form
    7,793/11,689.39 = 2,860.71/x
  3. Step 3: Cross multiply
    7,793x = 11,689.39 × 2,860.71
  4. Step 4: Simplify right side
    7,793x = 33,439,954.87
  5. Step 5: Solve for x
    x = 33,439,954.87/7,793
  6. Step 6: Final answer
    x = 4,291.02

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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.