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Finding the Fourth Proportional to 16,221.72, 24,314.58 and 7,447.80

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Solution

The fourth proportional to 16,221.72, 24,314.58 and 7,447.80 is: 11,163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.72 : 24,314.58 = 7,447.80 : x
  2. Step 2: Convert to fraction form
    16,221.72/24,314.58 = 7,447.80/x
  3. Step 3: Cross multiply
    16,221.72x = 24,314.58 × 7,447.80
  4. Step 4: Simplify right side
    16,221.72x = 181,090,128.92
  5. Step 5: Solve for x
    x = 181,090,128.92/16,221.72
  6. Step 6: Final answer
    x = 11,163.44

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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.