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Finding the Fourth Proportional to 7,998.53, 11,965.74 and 6,914.57

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Solution

The fourth proportional to 7,998.53, 11,965.74 and 6,914.57 is: 10,344.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998.53 : 11,965.74 = 6,914.57 : x
  2. Step 2: Convert to fraction form
    7,998.53/11,965.74 = 6,914.57/x
  3. Step 3: Cross multiply
    7,998.53x = 11,965.74 × 6,914.57
  4. Step 4: Simplify right side
    7,998.53x = 82,737,946.83
  5. Step 5: Solve for x
    x = 82,737,946.83/7,998.53
  6. Step 6: Final answer
    x = 10,344.14

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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.