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Finding the Fourth Proportional to 5,145.92, 7,719.60 and 1,683.08

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Solution

The fourth proportional to 5,145.92, 7,719.60 and 1,683.08 is: 2,524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.92 : 7,719.60 = 1,683.08 : x
  2. Step 2: Convert to fraction form
    5,145.92/7,719.60 = 1,683.08/x
  3. Step 3: Cross multiply
    5,145.92x = 7,719.60 × 1,683.08
  4. Step 4: Simplify right side
    5,145.92x = 12,992,704.37
  5. Step 5: Solve for x
    x = 12,992,704.37/5,145.92
  6. Step 6: Final answer
    x = 2,524.86

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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.