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Finding the Fourth Proportional to 11,917.14, 17,877.51 and 4,423.14

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Solution

The fourth proportional to 11,917.14, 17,877.51 and 4,423.14 is: 6,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.14 : 17,877.51 = 4,423.14 : x
  2. Step 2: Convert to fraction form
    11,917.14/17,877.51 = 4,423.14/x
  3. Step 3: Cross multiply
    11,917.14x = 17,877.51 × 4,423.14
  4. Step 4: Simplify right side
    11,917.14x = 79,074,729.58
  5. Step 5: Solve for x
    x = 79,074,729.58/11,917.14
  6. Step 6: Final answer
    x = 6,635.38

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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.