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Finding the Fourth Proportional to 10,157.71, 15,236.61 and 3,137.71

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Solution

The fourth proportional to 10,157.71, 15,236.61 and 3,137.71 is: 4,706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.71 : 15,236.61 = 3,137.71 : x
  2. Step 2: Convert to fraction form
    10,157.71/15,236.61 = 3,137.71/x
  3. Step 3: Cross multiply
    10,157.71x = 15,236.61 × 3,137.71
  4. Step 4: Simplify right side
    10,157.71x = 47,808,063.56
  5. Step 5: Solve for x
    x = 47,808,063.56/10,157.71
  6. Step 6: Final answer
    x = 4,706.58

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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.