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Finding the Fourth Proportional to 10,433, 15,650.78 and 3,137

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Solution

The fourth proportional to 10,433, 15,650.78 and 3,137 is: 4,705.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433 : 15,650.78 = 3,137 : x
  2. Step 2: Convert to fraction form
    10,433/15,650.78 = 3,137/x
  3. Step 3: Cross multiply
    10,433x = 15,650.78 × 3,137
  4. Step 4: Simplify right side
    10,433x = 49,096,496.86
  5. Step 5: Solve for x
    x = 49,096,496.86/10,433
  6. Step 6: Final answer
    x = 4,705.88

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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.