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Finding the Fourth Proportional to 9,885, 13,641.30 and 6,159

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Solution

The fourth proportional to 9,885, 13,641.30 and 6,159 is: 8,499.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885 : 13,641.30 = 6,159 : x
  2. Step 2: Convert to fraction form
    9,885/13,641.30 = 6,159/x
  3. Step 3: Cross multiply
    9,885x = 13,641.30 × 6,159
  4. Step 4: Simplify right side
    9,885x = 84,016,766.70
  5. Step 5: Solve for x
    x = 84,016,766.70/9,885
  6. Step 6: Final answer
    x = 8,499.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.