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Finding the Fourth Proportional to 7,912.82, 11,865.66 and 2,364.32

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Solution

The fourth proportional to 7,912.82, 11,865.66 and 2,364.32 is: 3,545.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.82 : 11,865.66 = 2,364.32 : x
  2. Step 2: Convert to fraction form
    7,912.82/11,865.66 = 2,364.32/x
  3. Step 3: Cross multiply
    7,912.82x = 11,865.66 × 2,364.32
  4. Step 4: Simplify right side
    7,912.82x = 28,054,217.25
  5. Step 5: Solve for x
    x = 28,054,217.25/7,912.82
  6. Step 6: Final answer
    x = 3,545.41

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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.