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Finding the Fourth Proportional to 8,065.52, 12,093.57 and 3,129.40

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Solution

The fourth proportional to 8,065.52, 12,093.57 and 3,129.40 is: 4,692.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.52 : 12,093.57 = 3,129.40 : x
  2. Step 2: Convert to fraction form
    8,065.52/12,093.57 = 3,129.40/x
  3. Step 3: Cross multiply
    8,065.52x = 12,093.57 × 3,129.40
  4. Step 4: Simplify right side
    8,065.52x = 37,845,573.85
  5. Step 5: Solve for x
    x = 37,845,573.85/8,065.52
  6. Step 6: Final answer
    x = 4,692.27

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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.