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Finding the Fourth Proportional to 15,711.72, 21,682 and 8,638.48

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Solution

The fourth proportional to 15,711.72, 21,682 and 8,638.48 is: 11,921.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711.72 : 21,682 = 8,638.48 : x
  2. Step 2: Convert to fraction form
    15,711.72/21,682 = 8,638.48/x
  3. Step 3: Cross multiply
    15,711.72x = 21,682 × 8,638.48
  4. Step 4: Simplify right side
    15,711.72x = 187,299,523.36
  5. Step 5: Solve for x
    x = 187,299,523.36/15,711.72
  6. Step 6: Final answer
    x = 11,921.01

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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.