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Finding the Fourth Proportional to 10,143, 13,997.34 and 5,727

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Solution

The fourth proportional to 10,143, 13,997.34 and 5,727 is: 7,903.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143 : 13,997.34 = 5,727 : x
  2. Step 2: Convert to fraction form
    10,143/13,997.34 = 5,727/x
  3. Step 3: Cross multiply
    10,143x = 13,997.34 × 5,727
  4. Step 4: Simplify right side
    10,143x = 80,162,766.18
  5. Step 5: Solve for x
    x = 80,162,766.18/10,143
  6. Step 6: Final answer
    x = 7,903.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.