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Finding the Fourth Proportional to 5,128.78, 7,687.67 and 3,663.49

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Solution

The fourth proportional to 5,128.78, 7,687.67 and 3,663.49 is: 5,491.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.78 : 7,687.67 = 3,663.49 : x
  2. Step 2: Convert to fraction form
    5,128.78/7,687.67 = 3,663.49/x
  3. Step 3: Cross multiply
    5,128.78x = 7,687.67 × 3,663.49
  4. Step 4: Simplify right side
    5,128.78x = 28,163,692.11
  5. Step 5: Solve for x
    x = 28,163,692.11/5,128.78
  6. Step 6: Final answer
    x = 5,491.31

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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.