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Finding the Fourth Proportional to 8,991.29, 13,418.27 and 8,007.14

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Solution

The fourth proportional to 8,991.29, 13,418.27 and 8,007.14 is: 11,949.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,991.29 : 13,418.27 = 8,007.14 : x
  2. Step 2: Convert to fraction form
    8,991.29/13,418.27 = 8,007.14/x
  3. Step 3: Cross multiply
    8,991.29x = 13,418.27 × 8,007.14
  4. Step 4: Simplify right side
    8,991.29x = 107,441,859.32
  5. Step 5: Solve for x
    x = 107,441,859.32/8,991.29
  6. Step 6: Final answer
    x = 11,949.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.