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Finding the Fourth Proportional to 11,249, 16,874.34 and 4,323.56

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Solution

The fourth proportional to 11,249, 16,874.34 and 4,323.56 is: 6,485.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249 : 16,874.34 = 4,323.56 : x
  2. Step 2: Convert to fraction form
    11,249/16,874.34 = 4,323.56/x
  3. Step 3: Cross multiply
    11,249x = 16,874.34 × 4,323.56
  4. Step 4: Simplify right side
    11,249x = 72,957,221.45
  5. Step 5: Solve for x
    x = 72,957,221.45/11,249
  6. Step 6: Final answer
    x = 6,485.66

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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.