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Finding the Fourth Proportional to 10,157.46, 15,237 and 3,136.86

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Solution

The fourth proportional to 10,157.46, 15,237 and 3,136.86 is: 4,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.46 : 15,237 = 3,136.86 : x
  2. Step 2: Convert to fraction form
    10,157.46/15,237 = 3,136.86/x
  3. Step 3: Cross multiply
    10,157.46x = 15,237 × 3,136.86
  4. Step 4: Simplify right side
    10,157.46x = 47,796,335.82
  5. Step 5: Solve for x
    x = 47,796,335.82/10,157.46
  6. Step 6: Final answer
    x = 4,705.54

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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.