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Finding the Fourth Proportional to 13,574.26, 20,363.82 and 6,998.68

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Solution

The fourth proportional to 13,574.26, 20,363.82 and 6,998.68 is: 10,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.26 : 20,363.82 = 6,998.68 : x
  2. Step 2: Convert to fraction form
    13,574.26/20,363.82 = 6,998.68/x
  3. Step 3: Cross multiply
    13,574.26x = 20,363.82 × 6,998.68
  4. Step 4: Simplify right side
    13,574.26x = 142,519,859.76
  5. Step 5: Solve for x
    x = 142,519,859.76/13,574.26
  6. Step 6: Final answer
    x = 10,499.27

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1.5x scale

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.