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Finding the Fourth Proportional to 8,134.57, 12,203.65 and 3,458.58

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Solution

The fourth proportional to 8,134.57, 12,203.65 and 3,458.58 is: 5,188.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.57 : 12,203.65 = 3,458.58 : x
  2. Step 2: Convert to fraction form
    8,134.57/12,203.65 = 3,458.58/x
  3. Step 3: Cross multiply
    8,134.57x = 12,203.65 × 3,458.58
  4. Step 4: Simplify right side
    8,134.57x = 42,207,322.16
  5. Step 5: Solve for x
    x = 42,207,322.16/8,134.57
  6. Step 6: Final answer
    x = 5,188.63

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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.