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Finding the Fourth Proportional to 8,103.51, 12,158.51 and 2,909.79

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Solution

The fourth proportional to 8,103.51, 12,158.51 and 2,909.79 is: 4,365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.51 : 12,158.51 = 2,909.79 : x
  2. Step 2: Convert to fraction form
    8,103.51/12,158.51 = 2,909.79/x
  3. Step 3: Cross multiply
    8,103.51x = 12,158.51 × 2,909.79
  4. Step 4: Simplify right side
    8,103.51x = 35,378,696.26
  5. Step 5: Solve for x
    x = 35,378,696.26/8,103.51
  6. Step 6: Final answer
    x = 4,365.85

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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.