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Finding the Fourth Proportional to 21,953.13, 32,934.91 and 7,162.05

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Solution

The fourth proportional to 21,953.13, 32,934.91 and 7,162.05 is: 10,744.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,953.13 : 32,934.91 = 7,162.05 : x
  2. Step 2: Convert to fraction form
    21,953.13/32,934.91 = 7,162.05/x
  3. Step 3: Cross multiply
    21,953.13x = 32,934.91 × 7,162.05
  4. Step 4: Simplify right side
    21,953.13x = 235,881,472.17
  5. Step 5: Solve for x
    x = 235,881,472.17/21,953.13
  6. Step 6: Final answer
    x = 10,744.78

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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.