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Finding the Fourth Proportional to 10,195.16, 15,291 and 2,797.88

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Solution

The fourth proportional to 10,195.16, 15,291 and 2,797.88 is: 4,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.16 : 15,291 = 2,797.88 : x
  2. Step 2: Convert to fraction form
    10,195.16/15,291 = 2,797.88/x
  3. Step 3: Cross multiply
    10,195.16x = 15,291 × 2,797.88
  4. Step 4: Simplify right side
    10,195.16x = 42,782,306.63
  5. Step 5: Solve for x
    x = 42,782,306.63/10,195.16
  6. Step 6: Final answer
    x = 4,196.34

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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.