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Finding the Fourth Proportional to 13,827, 20,734 and 5,055.78

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Solution

The fourth proportional to 13,827, 20,734 and 5,055.78 is: 7,581.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827 : 20,734 = 5,055.78 : x
  2. Step 2: Convert to fraction form
    13,827/20,734 = 5,055.78/x
  3. Step 3: Cross multiply
    13,827x = 20,734 × 5,055.78
  4. Step 4: Simplify right side
    13,827x = 104,826,542.52
  5. Step 5: Solve for x
    x = 104,826,542.52/13,827
  6. Step 6: Final answer
    x = 7,581.29

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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.