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Finding the Fourth Proportional to 21,400.98, 32,106.93 and 8,249.82

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Solution

The fourth proportional to 21,400.98, 32,106.93 and 8,249.82 is: 12,376.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400.98 : 32,106.93 = 8,249.82 : x
  2. Step 2: Convert to fraction form
    21,400.98/32,106.93 = 8,249.82/x
  3. Step 3: Cross multiply
    21,400.98x = 32,106.93 × 8,249.82
  4. Step 4: Simplify right side
    21,400.98x = 264,876,232.72
  5. Step 5: Solve for x
    x = 264,876,232.72/21,400.98
  6. Step 6: Final answer
    x = 12,376.83

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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.