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Finding the Fourth Proportional to 13,764, 20,642.76 and 4,401.48

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Solution

The fourth proportional to 13,764, 20,642.76 and 4,401.48 is: 6,601.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764 : 20,642.76 = 4,401.48 : x
  2. Step 2: Convert to fraction form
    13,764/20,642.76 = 4,401.48/x
  3. Step 3: Cross multiply
    13,764x = 20,642.76 × 4,401.48
  4. Step 4: Simplify right side
    13,764x = 90,858,695.28
  5. Step 5: Solve for x
    x = 90,858,695.28/13,764
  6. Step 6: Final answer
    x = 6,601.18

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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.