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Finding the Fourth Proportional to 10,815.75, 16,230.15 and 4,659.75

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Solution

The fourth proportional to 10,815.75, 16,230.15 and 4,659.75 is: 6,992.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815.75 : 16,230.15 = 4,659.75 : x
  2. Step 2: Convert to fraction form
    10,815.75/16,230.15 = 4,659.75/x
  3. Step 3: Cross multiply
    10,815.75x = 16,230.15 × 4,659.75
  4. Step 4: Simplify right side
    10,815.75x = 75,628,441.46
  5. Step 5: Solve for x
    x = 75,628,441.46/10,815.75
  6. Step 6: Final answer
    x = 6,992.44

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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.