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Finding the Fourth Proportional to 10,177, 15,267.69 and 3,156.87

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Solution

The fourth proportional to 10,177, 15,267.69 and 3,156.87 is: 4,735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177 : 15,267.69 = 3,156.87 : x
  2. Step 2: Convert to fraction form
    10,177/15,267.69 = 3,156.87/x
  3. Step 3: Cross multiply
    10,177x = 15,267.69 × 3,156.87
  4. Step 4: Simplify right side
    10,177x = 48,198,112.53
  5. Step 5: Solve for x
    x = 48,198,112.53/10,177
  6. Step 6: Final answer
    x = 4,735.98

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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.