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Finding the Fourth Proportional to 30,523.36, 45,781.52 and 8,338.52

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Solution

The fourth proportional to 30,523.36, 45,781.52 and 8,338.52 is: 12,506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,523.36 : 45,781.52 = 8,338.52 : x
  2. Step 2: Convert to fraction form
    30,523.36/45,781.52 = 8,338.52/x
  3. Step 3: Cross multiply
    30,523.36x = 45,781.52 × 8,338.52
  4. Step 4: Simplify right side
    30,523.36x = 381,750,120.15
  5. Step 5: Solve for x
    x = 381,750,120.15/30,523.36
  6. Step 6: Final answer
    x = 12,506.82

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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.