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Finding the Fourth Proportional to 9,154, 13,722.85 and 3,309.31

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Solution

The fourth proportional to 9,154, 13,722.85 and 3,309.31 is: 4,961.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154 : 13,722.85 = 3,309.31 : x
  2. Step 2: Convert to fraction form
    9,154/13,722.85 = 3,309.31/x
  3. Step 3: Cross multiply
    9,154x = 13,722.85 × 3,309.31
  4. Step 4: Simplify right side
    9,154x = 45,413,164.73
  5. Step 5: Solve for x
    x = 45,413,164.73/9,154
  6. Step 6: Final answer
    x = 4,961.02

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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.