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Finding the Fourth Proportional to 21,744, 32,621.70 and 6,953.22

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Solution

The fourth proportional to 21,744, 32,621.70 and 6,953.22 is: 10,431.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,744 : 32,621.70 = 6,953.22 : x
  2. Step 2: Convert to fraction form
    21,744/32,621.70 = 6,953.22/x
  3. Step 3: Cross multiply
    21,744x = 32,621.70 × 6,953.22
  4. Step 4: Simplify right side
    21,744x = 226,825,856.87
  5. Step 5: Solve for x
    x = 226,825,856.87/21,744
  6. Step 6: Final answer
    x = 10,431.65

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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.