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Finding the Fourth Proportional to 7,143.60, 10,716.20 and 2,213.20

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Solution

The fourth proportional to 7,143.60, 10,716.20 and 2,213.20 is: 3,320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.60 : 10,716.20 = 2,213.20 : x
  2. Step 2: Convert to fraction form
    7,143.60/10,716.20 = 2,213.20/x
  3. Step 3: Cross multiply
    7,143.60x = 10,716.20 × 2,213.20
  4. Step 4: Simplify right side
    7,143.60x = 23,717,093.84
  5. Step 5: Solve for x
    x = 23,717,093.84/7,143.60
  6. Step 6: Final answer
    x = 3,320.05

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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.