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Finding the Fourth Proportional to 8,643.88, 12,965.19 and 3,096.19

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Solution

The fourth proportional to 8,643.88, 12,965.19 and 3,096.19 is: 4,644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.88 : 12,965.19 = 3,096.19 : x
  2. Step 2: Convert to fraction form
    8,643.88/12,965.19 = 3,096.19/x
  3. Step 3: Cross multiply
    8,643.88x = 12,965.19 × 3,096.19
  4. Step 4: Simplify right side
    8,643.88x = 40,142,691.63
  5. Step 5: Solve for x
    x = 40,142,691.63/8,643.88
  6. Step 6: Final answer
    x = 4,644.06

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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.