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Finding the Fourth Proportional to 5,622, 7,757.52 and 3,264.72

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Solution

The fourth proportional to 5,622, 7,757.52 and 3,264.72 is: 4,504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622 : 7,757.52 = 3,264.72 : x
  2. Step 2: Convert to fraction form
    5,622/7,757.52 = 3,264.72/x
  3. Step 3: Cross multiply
    5,622x = 7,757.52 × 3,264.72
  4. Step 4: Simplify right side
    5,622x = 25,326,130.69
  5. Step 5: Solve for x
    x = 25,326,130.69/5,622
  6. Step 6: Final answer
    x = 4,504.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.