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Finding the Fourth Proportional to 7,144.60, 10,716.90 and 2,214.94

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Solution

The fourth proportional to 7,144.60, 10,716.90 and 2,214.94 is: 3,322.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.60 : 10,716.90 = 2,214.94 : x
  2. Step 2: Convert to fraction form
    7,144.60/10,716.90 = 2,214.94/x
  3. Step 3: Cross multiply
    7,144.60x = 10,716.90 × 2,214.94
  4. Step 4: Simplify right side
    7,144.60x = 23,737,290.49
  5. Step 5: Solve for x
    x = 23,737,290.49/7,144.60
  6. Step 6: Final answer
    x = 3,322.41

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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.