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Finding the Fourth Proportional to 5,122.40, 7,682.64 and 3,068

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Solution

The fourth proportional to 5,122.40, 7,682.64 and 3,068 is: 4,601.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.40 : 7,682.64 = 3,068 : x
  2. Step 2: Convert to fraction form
    5,122.40/7,682.64 = 3,068/x
  3. Step 3: Cross multiply
    5,122.40x = 7,682.64 × 3,068
  4. Step 4: Simplify right side
    5,122.40x = 23,570,339.52
  5. Step 5: Solve for x
    x = 23,570,339.52/5,122.40
  6. Step 6: Final answer
    x = 4,601.43

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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.