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Finding the Fourth Proportional to 21,989.92, 32,992.08 and 8,140

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Solution

The fourth proportional to 21,989.92, 32,992.08 and 8,140 is: 12,212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,989.92 : 32,992.08 = 8,140 : x
  2. Step 2: Convert to fraction form
    21,989.92/32,992.08 = 8,140/x
  3. Step 3: Cross multiply
    21,989.92x = 32,992.08 × 8,140
  4. Step 4: Simplify right side
    21,989.92x = 268,555,531.20
  5. Step 5: Solve for x
    x = 268,555,531.20/21,989.92
  6. Step 6: Final answer
    x = 12,212.67

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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.