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Finding the Fourth Proportional to 5,389.80, 8,028.05 and 5,137

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Solution

The fourth proportional to 5,389.80, 8,028.05 and 5,137 is: 7,651.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.80 : 8,028.05 = 5,137 : x
  2. Step 2: Convert to fraction form
    5,389.80/8,028.05 = 5,137/x
  3. Step 3: Cross multiply
    5,389.80x = 8,028.05 × 5,137
  4. Step 4: Simplify right side
    5,389.80x = 41,240,092.85
  5. Step 5: Solve for x
    x = 41,240,092.85/5,389.80
  6. Step 6: Final answer
    x = 7,651.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.