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Finding the Fourth Proportional to 21,761.73, 30,031.08 and 12,201.63

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Solution

The fourth proportional to 21,761.73, 30,031.08 and 12,201.63 is: 16,838.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,761.73 : 30,031.08 = 12,201.63 : x
  2. Step 2: Convert to fraction form
    21,761.73/30,031.08 = 12,201.63/x
  3. Step 3: Cross multiply
    21,761.73x = 30,031.08 × 12,201.63
  4. Step 4: Simplify right side
    21,761.73x = 366,428,126.66
  5. Step 5: Solve for x
    x = 366,428,126.66/21,761.73
  6. Step 6: Final answer
    x = 16,838.19

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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.