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Finding the Fourth Proportional to 21,093.36, 31,638 and 8,614.50

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Solution

The fourth proportional to 21,093.36, 31,638 and 8,614.50 is: 12,920.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,093.36 : 31,638 = 8,614.50 : x
  2. Step 2: Convert to fraction form
    21,093.36/31,638 = 8,614.50/x
  3. Step 3: Cross multiply
    21,093.36x = 31,638 × 8,614.50
  4. Step 4: Simplify right side
    21,093.36x = 272,545,551
  5. Step 5: Solve for x
    x = 272,545,551/21,093.36
  6. Step 6: Final answer
    x = 12,920.92

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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.