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Finding the Fourth Proportional to 7,009.60, 10,517.70 and 3,499.88

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Solution

The fourth proportional to 7,009.60, 10,517.70 and 3,499.88 is: 5,251.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.60 : 10,517.70 = 3,499.88 : x
  2. Step 2: Convert to fraction form
    7,009.60/10,517.70 = 3,499.88/x
  3. Step 3: Cross multiply
    7,009.60x = 10,517.70 × 3,499.88
  4. Step 4: Simplify right side
    7,009.60x = 36,810,687.88
  5. Step 5: Solve for x
    x = 36,810,687.88/7,009.60
  6. Step 6: Final answer
    x = 5,251.47

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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.