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Finding the Fourth Proportional to 7,114.80, 10,662.64 and 5,143.84

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Solution

The fourth proportional to 7,114.80, 10,662.64 and 5,143.84 is: 7,708.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.80 : 10,662.64 = 5,143.84 : x
  2. Step 2: Convert to fraction form
    7,114.80/10,662.64 = 5,143.84/x
  3. Step 3: Cross multiply
    7,114.80x = 10,662.64 × 5,143.84
  4. Step 4: Simplify right side
    7,114.80x = 54,846,914.14
  5. Step 5: Solve for x
    x = 54,846,914.14/7,114.80
  6. Step 6: Final answer
    x = 7,708.85

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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.