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Finding the Fourth Proportional to 21,811.92, 32,714.64 and 7,960.92

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Solution

The fourth proportional to 21,811.92, 32,714.64 and 7,960.92 is: 11,940.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,811.92 : 32,714.64 = 7,960.92 : x
  2. Step 2: Convert to fraction form
    21,811.92/32,714.64 = 7,960.92/x
  3. Step 3: Cross multiply
    21,811.92x = 32,714.64 × 7,960.92
  4. Step 4: Simplify right side
    21,811.92x = 260,438,631.87
  5. Step 5: Solve for x
    x = 260,438,631.87/21,811.92
  6. Step 6: Final answer
    x = 11,940.20

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1.5x scale

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.