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Finding the Fourth Proportional to 9,179.80, 13,770.27 and 2,606.50

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Solution

The fourth proportional to 9,179.80, 13,770.27 and 2,606.50 is: 3,909.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179.80 : 13,770.27 = 2,606.50 : x
  2. Step 2: Convert to fraction form
    9,179.80/13,770.27 = 2,606.50/x
  3. Step 3: Cross multiply
    9,179.80x = 13,770.27 × 2,606.50
  4. Step 4: Simplify right side
    9,179.80x = 35,892,208.76
  5. Step 5: Solve for x
    x = 35,892,208.76/9,179.80
  6. Step 6: Final answer
    x = 3,909.91

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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.