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Finding the Fourth Proportional to 21,953.24, 32,930.92 and 7,162.14

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Solution

The fourth proportional to 21,953.24, 32,930.92 and 7,162.14 is: 10,743.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,953.24 : 32,930.92 = 7,162.14 : x
  2. Step 2: Convert to fraction form
    21,953.24/32,930.92 = 7,162.14/x
  3. Step 3: Cross multiply
    21,953.24x = 32,930.92 × 7,162.14
  4. Step 4: Simplify right side
    21,953.24x = 235,855,859.37
  5. Step 5: Solve for x
    x = 235,855,859.37/21,953.24
  6. Step 6: Final answer
    x = 10,743.56

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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.