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Finding the Fourth Proportional to 11,591.17, 15,984.03 and 9,918.11

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Solution

The fourth proportional to 11,591.17, 15,984.03 and 9,918.11 is: 13,676.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.17 : 15,984.03 = 9,918.11 : x
  2. Step 2: Convert to fraction form
    11,591.17/15,984.03 = 9,918.11/x
  3. Step 3: Cross multiply
    11,591.17x = 15,984.03 × 9,918.11
  4. Step 4: Simplify right side
    11,591.17x = 158,531,444.94
  5. Step 5: Solve for x
    x = 158,531,444.94/11,591.17
  6. Step 6: Final answer
    x = 13,676.92

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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.