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Finding the Fourth Proportional to 8,132.66, 12,189 and 4,625.59

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Solution

The fourth proportional to 8,132.66, 12,189 and 4,625.59 is: 6,932.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.66 : 12,189 = 4,625.59 : x
  2. Step 2: Convert to fraction form
    8,132.66/12,189 = 4,625.59/x
  3. Step 3: Cross multiply
    8,132.66x = 12,189 × 4,625.59
  4. Step 4: Simplify right side
    8,132.66x = 56,381,316.51
  5. Step 5: Solve for x
    x = 56,381,316.51/8,132.66
  6. Step 6: Final answer
    x = 6,932.70

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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.