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Finding the Fourth Proportional to 21,809.92, 32,723.52 and 7,968.64

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Solution

The fourth proportional to 21,809.92, 32,723.52 and 7,968.64 is: 11,956.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,809.92 : 32,723.52 = 7,968.64 : x
  2. Step 2: Convert to fraction form
    21,809.92/32,723.52 = 7,968.64/x
  3. Step 3: Cross multiply
    21,809.92x = 32,723.52 × 7,968.64
  4. Step 4: Simplify right side
    21,809.92x = 260,761,950.41
  5. Step 5: Solve for x
    x = 260,761,950.41/21,809.92
  6. Step 6: Final answer
    x = 11,956.12

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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.