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Finding the Fourth Proportional to 21,942.72, 32,894.64 and 8,088.48

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Solution

The fourth proportional to 21,942.72, 32,894.64 and 8,088.48 is: 12,125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,942.72 : 32,894.64 = 8,088.48 : x
  2. Step 2: Convert to fraction form
    21,942.72/32,894.64 = 8,088.48/x
  3. Step 3: Cross multiply
    21,942.72x = 32,894.64 × 8,088.48
  4. Step 4: Simplify right side
    21,942.72x = 266,067,637.75
  5. Step 5: Solve for x
    x = 266,067,637.75/21,942.72
  6. Step 6: Final answer
    x = 12,125.55

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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.