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Finding the Fourth Proportional to 15,751.88, 21,729.94 and 10,082.09

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Solution

The fourth proportional to 15,751.88, 21,729.94 and 10,082.09 is: 13,908.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,751.88 : 21,729.94 = 10,082.09 : x
  2. Step 2: Convert to fraction form
    15,751.88/21,729.94 = 10,082.09/x
  3. Step 3: Cross multiply
    15,751.88x = 21,729.94 × 10,082.09
  4. Step 4: Simplify right side
    15,751.88x = 219,083,117.66
  5. Step 5: Solve for x
    x = 219,083,117.66/15,751.88
  6. Step 6: Final answer
    x = 13,908.38

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1.5x scale

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.