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Finding the Fourth Proportional to 5,106, 7,662.60 and 2,028.72

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Solution

The fourth proportional to 5,106, 7,662.60 and 2,028.72 is: 3,044.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106 : 7,662.60 = 2,028.72 : x
  2. Step 2: Convert to fraction form
    5,106/7,662.60 = 2,028.72/x
  3. Step 3: Cross multiply
    5,106x = 7,662.60 × 2,028.72
  4. Step 4: Simplify right side
    5,106x = 15,545,269.87
  5. Step 5: Solve for x
    x = 15,545,269.87/5,106
  6. Step 6: Final answer
    x = 3,044.51

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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.