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Finding the Fourth Proportional to 12,253.92, 16,905.34 and 8,003.51

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Solution

The fourth proportional to 12,253.92, 16,905.34 and 8,003.51 is: 11,041.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,253.92 : 16,905.34 = 8,003.51 : x
  2. Step 2: Convert to fraction form
    12,253.92/16,905.34 = 8,003.51/x
  3. Step 3: Cross multiply
    12,253.92x = 16,905.34 × 8,003.51
  4. Step 4: Simplify right side
    12,253.92x = 135,302,046.62
  5. Step 5: Solve for x
    x = 135,302,046.62/12,253.92
  6. Step 6: Final answer
    x = 11,041.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.