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Finding the Fourth Proportional to 21,384.52, 32,054.10 and 8,231.20

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Solution

The fourth proportional to 21,384.52, 32,054.10 and 8,231.20 is: 12,338.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384.52 : 32,054.10 = 8,231.20 : x
  2. Step 2: Convert to fraction form
    21,384.52/32,054.10 = 8,231.20/x
  3. Step 3: Cross multiply
    21,384.52x = 32,054.10 × 8,231.20
  4. Step 4: Simplify right side
    21,384.52x = 263,843,707.92
  5. Step 5: Solve for x
    x = 263,843,707.92/21,384.52
  6. Step 6: Final answer
    x = 12,338.07

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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.