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Finding the Fourth Proportional to 12,203.67, 18,305.10 and 5,179.17

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Solution

The fourth proportional to 12,203.67, 18,305.10 and 5,179.17 is: 7,768.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.67 : 18,305.10 = 5,179.17 : x
  2. Step 2: Convert to fraction form
    12,203.67/18,305.10 = 5,179.17/x
  3. Step 3: Cross multiply
    12,203.67x = 18,305.10 × 5,179.17
  4. Step 4: Simplify right side
    12,203.67x = 94,805,224.77
  5. Step 5: Solve for x
    x = 94,805,224.77/12,203.67
  6. Step 6: Final answer
    x = 7,768.58

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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.