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Finding the Fourth Proportional to 15,795, 21,797.10 and 9,508.59

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Solution

The fourth proportional to 15,795, 21,797.10 and 9,508.59 is: 13,121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,795 : 21,797.10 = 9,508.59 : x
  2. Step 2: Convert to fraction form
    15,795/21,797.10 = 9,508.59/x
  3. Step 3: Cross multiply
    15,795x = 21,797.10 × 9,508.59
  4. Step 4: Simplify right side
    15,795x = 207,259,687.09
  5. Step 5: Solve for x
    x = 207,259,687.09/15,795
  6. Step 6: Final answer
    x = 13,121.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.