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Finding the Fourth Proportional to 5,125.16, 7,687.74 and 1,662.68

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Solution

The fourth proportional to 5,125.16, 7,687.74 and 1,662.68 is: 2,494.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.16 : 7,687.74 = 1,662.68 : x
  2. Step 2: Convert to fraction form
    5,125.16/7,687.74 = 1,662.68/x
  3. Step 3: Cross multiply
    5,125.16x = 7,687.74 × 1,662.68
  4. Step 4: Simplify right side
    5,125.16x = 12,782,251.54
  5. Step 5: Solve for x
    x = 12,782,251.54/5,125.16
  6. Step 6: Final answer
    x = 2,494.02

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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.