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Finding the Fourth Proportional to 11,885.68, 17,827.14 and 3,121.28

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Solution

The fourth proportional to 11,885.68, 17,827.14 and 3,121.28 is: 4,681.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.68 : 17,827.14 = 3,121.28 : x
  2. Step 2: Convert to fraction form
    11,885.68/17,827.14 = 3,121.28/x
  3. Step 3: Cross multiply
    11,885.68x = 17,827.14 × 3,121.28
  4. Step 4: Simplify right side
    11,885.68x = 55,643,495.54
  5. Step 5: Solve for x
    x = 55,643,495.54/11,885.68
  6. Step 6: Final answer
    x = 4,681.56

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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.