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Finding the Fourth Proportional to 11,814.70, 17,722.96 and 3,916.89

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Solution

The fourth proportional to 11,814.70, 17,722.96 and 3,916.89 is: 5,875.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.70 : 17,722.96 = 3,916.89 : x
  2. Step 2: Convert to fraction form
    11,814.70/17,722.96 = 3,916.89/x
  3. Step 3: Cross multiply
    11,814.70x = 17,722.96 × 3,916.89
  4. Step 4: Simplify right side
    11,814.70x = 69,418,884.79
  5. Step 5: Solve for x
    x = 69,418,884.79/11,814.70
  6. Step 6: Final answer
    x = 5,875.64

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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.