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Finding the Fourth Proportional to 11,920.14, 17,881.02 and 3,154.77

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Solution

The fourth proportional to 11,920.14, 17,881.02 and 3,154.77 is: 4,732.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.14 : 17,881.02 = 3,154.77 : x
  2. Step 2: Convert to fraction form
    11,920.14/17,881.02 = 3,154.77/x
  3. Step 3: Cross multiply
    11,920.14x = 17,881.02 × 3,154.77
  4. Step 4: Simplify right side
    11,920.14x = 56,410,505.47
  5. Step 5: Solve for x
    x = 56,410,505.47/11,920.14
  6. Step 6: Final answer
    x = 4,732.37

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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.