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Finding the Fourth Proportional to 8,293.88, 12,433 and 4,129.95

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Solution

The fourth proportional to 8,293.88, 12,433 and 4,129.95 is: 6,191.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.88 : 12,433 = 4,129.95 : x
  2. Step 2: Convert to fraction form
    8,293.88/12,433 = 4,129.95/x
  3. Step 3: Cross multiply
    8,293.88x = 12,433 × 4,129.95
  4. Step 4: Simplify right side
    8,293.88x = 51,347,668.35
  5. Step 5: Solve for x
    x = 51,347,668.35/8,293.88
  6. Step 6: Final answer
    x = 6,191.03

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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.