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Finding the Fourth Proportional to 18,087.87, 27,111 and 6,989.70

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Solution

The fourth proportional to 18,087.87, 27,111 and 6,989.70 is: 10,476.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,087.87 : 27,111 = 6,989.70 : x
  2. Step 2: Convert to fraction form
    18,087.87/27,111 = 6,989.70/x
  3. Step 3: Cross multiply
    18,087.87x = 27,111 × 6,989.70
  4. Step 4: Simplify right side
    18,087.87x = 189,497,756.70
  5. Step 5: Solve for x
    x = 189,497,756.70/18,087.87
  6. Step 6: Final answer
    x = 10,476.51

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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.