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Finding the Fourth Proportional to 7,143.46, 10,715.69 and 2,212.46

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Solution

The fourth proportional to 7,143.46, 10,715.69 and 2,212.46 is: 3,318.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.46 : 10,715.69 = 2,212.46 : x
  2. Step 2: Convert to fraction form
    7,143.46/10,715.69 = 2,212.46/x
  3. Step 3: Cross multiply
    7,143.46x = 10,715.69 × 2,212.46
  4. Step 4: Simplify right side
    7,143.46x = 23,708,035.50
  5. Step 5: Solve for x
    x = 23,708,035.50/7,143.46
  6. Step 6: Final answer
    x = 3,318.84

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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.