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Finding the Fourth Proportional to 13,404.41, 20,108 and 4,639.31

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Solution

The fourth proportional to 13,404.41, 20,108 and 4,639.31 is: 6,959.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,404.41 : 20,108 = 4,639.31 : x
  2. Step 2: Convert to fraction form
    13,404.41/20,108 = 4,639.31/x
  3. Step 3: Cross multiply
    13,404.41x = 20,108 × 4,639.31
  4. Step 4: Simplify right side
    13,404.41x = 93,287,245.48
  5. Step 5: Solve for x
    x = 93,287,245.48/13,404.41
  6. Step 6: Final answer
    x = 6,959.44

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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.