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Finding the Fourth Proportional to 21,294.72, 31,937.96 and 8,144

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Solution

The fourth proportional to 21,294.72, 31,937.96 and 8,144 is: 12,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,294.72 : 31,937.96 = 8,144 : x
  2. Step 2: Convert to fraction form
    21,294.72/31,937.96 = 8,144/x
  3. Step 3: Cross multiply
    21,294.72x = 31,937.96 × 8,144
  4. Step 4: Simplify right side
    21,294.72x = 260,102,746.24
  5. Step 5: Solve for x
    x = 260,102,746.24/21,294.72
  6. Step 6: Final answer
    x = 12,214.42

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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.