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Finding the Fourth Proportional to 11,874.30, 17,814.08 and 4,478.79

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Solution

The fourth proportional to 11,874.30, 17,814.08 and 4,478.79 is: 6,719.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.30 : 17,814.08 = 4,478.79 : x
  2. Step 2: Convert to fraction form
    11,874.30/17,814.08 = 4,478.79/x
  3. Step 3: Cross multiply
    11,874.30x = 17,814.08 × 4,478.79
  4. Step 4: Simplify right side
    11,874.30x = 79,785,576.17
  5. Step 5: Solve for x
    x = 79,785,576.17/11,874.30
  6. Step 6: Final answer
    x = 6,719.18

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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.