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Finding the Fourth Proportional to 8,054.64, 12,083.88 and 3,438

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Solution

The fourth proportional to 8,054.64, 12,083.88 and 3,438 is: 5,157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,054.64 : 12,083.88 = 3,438 : x
  2. Step 2: Convert to fraction form
    8,054.64/12,083.88 = 3,438/x
  3. Step 3: Cross multiply
    8,054.64x = 12,083.88 × 3,438
  4. Step 4: Simplify right side
    8,054.64x = 41,544,379.44
  5. Step 5: Solve for x
    x = 41,544,379.44/8,054.64
  6. Step 6: Final answer
    x = 5,157.82

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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.