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Finding the Fourth Proportional to 7,797.47, 11,689.28 and 2,865.95

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Solution

The fourth proportional to 7,797.47, 11,689.28 and 2,865.95 is: 4,296.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.47 : 11,689.28 = 2,865.95 : x
  2. Step 2: Convert to fraction form
    7,797.47/11,689.28 = 2,865.95/x
  3. Step 3: Cross multiply
    7,797.47x = 11,689.28 × 2,865.95
  4. Step 4: Simplify right side
    7,797.47x = 33,500,819.24
  5. Step 5: Solve for x
    x = 33,500,819.24/7,797.47
  6. Step 6: Final answer
    x = 4,296.37

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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.