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Finding the Fourth Proportional to 13,578, 20,348.51 and 6,990.27

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Solution

The fourth proportional to 13,578, 20,348.51 and 6,990.27 is: 10,475.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578 : 20,348.51 = 6,990.27 : x
  2. Step 2: Convert to fraction form
    13,578/20,348.51 = 6,990.27/x
  3. Step 3: Cross multiply
    13,578x = 20,348.51 × 6,990.27
  4. Step 4: Simplify right side
    13,578x = 142,241,544.05
  5. Step 5: Solve for x
    x = 142,241,544.05/13,578
  6. Step 6: Final answer
    x = 10,475.88

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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.