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Finding the Fourth Proportional to 7,142.80, 10,716.36 and 3,244

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Solution

The fourth proportional to 7,142.80, 10,716.36 and 3,244 is: 4,866.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.80 : 10,716.36 = 3,244 : x
  2. Step 2: Convert to fraction form
    7,142.80/10,716.36 = 3,244/x
  3. Step 3: Cross multiply
    7,142.80x = 10,716.36 × 3,244
  4. Step 4: Simplify right side
    7,142.80x = 34,763,871.84
  5. Step 5: Solve for x
    x = 34,763,871.84/7,142.80
  6. Step 6: Final answer
    x = 4,866.98

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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.