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Finding the Fourth Proportional to 13,230.82, 19,847.99 and 6,991.08

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Solution

The fourth proportional to 13,230.82, 19,847.99 and 6,991.08 is: 10,487.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,230.82 : 19,847.99 = 6,991.08 : x
  2. Step 2: Convert to fraction form
    13,230.82/19,847.99 = 6,991.08/x
  3. Step 3: Cross multiply
    13,230.82x = 19,847.99 × 6,991.08
  4. Step 4: Simplify right side
    13,230.82x = 138,758,957.12
  5. Step 5: Solve for x
    x = 138,758,957.12/13,230.82
  6. Step 6: Final answer
    x = 10,487.56

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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.