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Finding the Fourth Proportional to 21,109.79, 31,653 and 8,638.58

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Solution

The fourth proportional to 21,109.79, 31,653 and 8,638.58 is: 12,953.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,109.79 : 31,653 = 8,638.58 : x
  2. Step 2: Convert to fraction form
    21,109.79/31,653 = 8,638.58/x
  3. Step 3: Cross multiply
    21,109.79x = 31,653 × 8,638.58
  4. Step 4: Simplify right side
    21,109.79x = 273,436,972.74
  5. Step 5: Solve for x
    x = 273,436,972.74/21,109.79
  6. Step 6: Final answer
    x = 12,953.09

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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.