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Finding the Fourth Proportional to 14,013, 21,022.83 and 4,779

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Solution

The fourth proportional to 14,013, 21,022.83 and 4,779 is: 7,169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,013 : 21,022.83 = 4,779 : x
  2. Step 2: Convert to fraction form
    14,013/21,022.83 = 4,779/x
  3. Step 3: Cross multiply
    14,013x = 21,022.83 × 4,779
  4. Step 4: Simplify right side
    14,013x = 100,468,104.57
  5. Step 5: Solve for x
    x = 100,468,104.57/14,013
  6. Step 6: Final answer
    x = 7,169.64

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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.