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Finding the Fourth Proportional to 12,523.82, 18,785.93 and 4,203.90

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Solution

The fourth proportional to 12,523.82, 18,785.93 and 4,203.90 is: 6,305.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.82 : 18,785.93 = 4,203.90 : x
  2. Step 2: Convert to fraction form
    12,523.82/18,785.93 = 4,203.90/x
  3. Step 3: Cross multiply
    12,523.82x = 18,785.93 × 4,203.90
  4. Step 4: Simplify right side
    12,523.82x = 78,974,150.11
  5. Step 5: Solve for x
    x = 78,974,150.11/12,523.82
  6. Step 6: Final answer
    x = 6,305.92

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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.