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Finding the Fourth Proportional to 5,764, 7,954.86 and 3,280

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Solution

The fourth proportional to 5,764, 7,954.86 and 3,280 is: 4,526.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764 : 7,954.86 = 3,280 : x
  2. Step 2: Convert to fraction form
    5,764/7,954.86 = 3,280/x
  3. Step 3: Cross multiply
    5,764x = 7,954.86 × 3,280
  4. Step 4: Simplify right side
    5,764x = 26,091,940.80
  5. Step 5: Solve for x
    x = 26,091,940.80/5,764
  6. Step 6: Final answer
    x = 4,526.71

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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.