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Finding the Fourth Proportional to 5,180.82, 7,758.86 and 2,984.94

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Solution

The fourth proportional to 5,180.82, 7,758.86 and 2,984.94 is: 4,470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.82 : 7,758.86 = 2,984.94 : x
  2. Step 2: Convert to fraction form
    5,180.82/7,758.86 = 2,984.94/x
  3. Step 3: Cross multiply
    5,180.82x = 7,758.86 × 2,984.94
  4. Step 4: Simplify right side
    5,180.82x = 23,159,731.57
  5. Step 5: Solve for x
    x = 23,159,731.57/5,180.82
  6. Step 6: Final answer
    x = 4,470.28

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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.