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Finding the Fourth Proportional to 10,656.70, 15,983.16 and 2,863.69

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Solution

The fourth proportional to 10,656.70, 15,983.16 and 2,863.69 is: 4,295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.70 : 15,983.16 = 2,863.69 : x
  2. Step 2: Convert to fraction form
    10,656.70/15,983.16 = 2,863.69/x
  3. Step 3: Cross multiply
    10,656.70x = 15,983.16 × 2,863.69
  4. Step 4: Simplify right side
    10,656.70x = 45,770,764.76
  5. Step 5: Solve for x
    x = 45,770,764.76/10,656.70
  6. Step 6: Final answer
    x = 4,295.02

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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.