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Finding the Fourth Proportional to 21,016, 31,508.26 and 12,694.28

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Solution

The fourth proportional to 21,016, 31,508.26 and 12,694.28 is: 19,031.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,016 : 31,508.26 = 12,694.28 : x
  2. Step 2: Convert to fraction form
    21,016/31,508.26 = 12,694.28/x
  3. Step 3: Cross multiply
    21,016x = 31,508.26 × 12,694.28
  4. Step 4: Simplify right side
    21,016x = 399,974,674.75
  5. Step 5: Solve for x
    x = 399,974,674.75/21,016
  6. Step 6: Final answer
    x = 19,031.91

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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.