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Finding the Fourth Proportional to 13,643.80, 20,475.84 and 10,141.96

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Solution

The fourth proportional to 13,643.80, 20,475.84 and 10,141.96 is: 15,220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.80 : 20,475.84 = 10,141.96 : x
  2. Step 2: Convert to fraction form
    13,643.80/20,475.84 = 10,141.96/x
  3. Step 3: Cross multiply
    13,643.80x = 20,475.84 × 10,141.96
  4. Step 4: Simplify right side
    13,643.80x = 207,665,150.25
  5. Step 5: Solve for x
    x = 207,665,150.25/13,643.80
  6. Step 6: Final answer
    x = 15,220.48

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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.