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Finding the Fourth Proportional to 21,456.92, 32,163.02 and 7,214.82

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Solution

The fourth proportional to 21,456.92, 32,163.02 and 7,214.82 is: 10,814.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,456.92 : 32,163.02 = 7,214.82 : x
  2. Step 2: Convert to fraction form
    21,456.92/32,163.02 = 7,214.82/x
  3. Step 3: Cross multiply
    21,456.92x = 32,163.02 × 7,214.82
  4. Step 4: Simplify right side
    21,456.92x = 232,050,363.88
  5. Step 5: Solve for x
    x = 232,050,363.88/21,456.92
  6. Step 6: Final answer
    x = 10,814.71

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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.