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Finding the Fourth Proportional to 21,664.86, 32,502.15 and 7,813.86

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Solution

The fourth proportional to 21,664.86, 32,502.15 and 7,813.86 is: 11,722.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,664.86 : 32,502.15 = 7,813.86 : x
  2. Step 2: Convert to fraction form
    21,664.86/32,502.15 = 7,813.86/x
  3. Step 3: Cross multiply
    21,664.86x = 32,502.15 × 7,813.86
  4. Step 4: Simplify right side
    21,664.86x = 253,967,249.80
  5. Step 5: Solve for x
    x = 253,967,249.80/21,664.86
  6. Step 6: Final answer
    x = 11,722.54

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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.