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Finding the Fourth Proportional to 5,746.38, 7,930.68 and 3,228.49

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Solution

The fourth proportional to 5,746.38, 7,930.68 and 3,228.49 is: 4,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.38 : 7,930.68 = 3,228.49 : x
  2. Step 2: Convert to fraction form
    5,746.38/7,930.68 = 3,228.49/x
  3. Step 3: Cross multiply
    5,746.38x = 7,930.68 × 3,228.49
  4. Step 4: Simplify right side
    5,746.38x = 25,604,121.07
  5. Step 5: Solve for x
    x = 25,604,121.07/5,746.38
  6. Step 6: Final answer
    x = 4,455.70

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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.