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Finding the Fourth Proportional to 11,871.42, 17,796.62 and 10,127.62

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Solution

The fourth proportional to 11,871.42, 17,796.62 and 10,127.62 is: 15,182.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.42 : 17,796.62 = 10,127.62 : x
  2. Step 2: Convert to fraction form
    11,871.42/17,796.62 = 10,127.62/x
  3. Step 3: Cross multiply
    11,871.42x = 17,796.62 × 10,127.62
  4. Step 4: Simplify right side
    11,871.42x = 180,237,404.64
  5. Step 5: Solve for x
    x = 180,237,404.64/11,871.42
  6. Step 6: Final answer
    x = 15,182.47

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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.