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Finding the Fourth Proportional to 21,344.51, 32,020.92 and 8,195.92

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Solution

The fourth proportional to 21,344.51, 32,020.92 and 8,195.92 is: 12,295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,344.51 : 32,020.92 = 8,195.92 : x
  2. Step 2: Convert to fraction form
    21,344.51/32,020.92 = 8,195.92/x
  3. Step 3: Cross multiply
    21,344.51x = 32,020.92 × 8,195.92
  4. Step 4: Simplify right side
    21,344.51x = 262,440,818.59
  5. Step 5: Solve for x
    x = 262,440,818.59/21,344.51
  6. Step 6: Final answer
    x = 12,295.47

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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.