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Finding the Fourth Proportional to 13,641.02, 20,462 and 3,781.04

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Solution

The fourth proportional to 13,641.02, 20,462 and 3,781.04 is: 5,671.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.02 : 20,462 = 3,781.04 : x
  2. Step 2: Convert to fraction form
    13,641.02/20,462 = 3,781.04/x
  3. Step 3: Cross multiply
    13,641.02x = 20,462 × 3,781.04
  4. Step 4: Simplify right side
    13,641.02x = 77,367,640.48
  5. Step 5: Solve for x
    x = 77,367,640.48/13,641.02
  6. Step 6: Final answer
    x = 5,671.69

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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.