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Finding the Fourth Proportional to 7,178.64, 10,768.77 and 3,282

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Solution

The fourth proportional to 7,178.64, 10,768.77 and 3,282 is: 4,923.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.64 : 10,768.77 = 3,282 : x
  2. Step 2: Convert to fraction form
    7,178.64/10,768.77 = 3,282/x
  3. Step 3: Cross multiply
    7,178.64x = 10,768.77 × 3,282
  4. Step 4: Simplify right side
    7,178.64x = 35,343,103.14
  5. Step 5: Solve for x
    x = 35,343,103.14/7,178.64
  6. Step 6: Final answer
    x = 4,923.37

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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.