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Finding the Fourth Proportional to 3,953.37, 5,928.80 and 1,613.37

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Solution

The fourth proportional to 3,953.37, 5,928.80 and 1,613.37 is: 2,419.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.37 : 5,928.80 = 1,613.37 : x
  2. Step 2: Convert to fraction form
    3,953.37/5,928.80 = 1,613.37/x
  3. Step 3: Cross multiply
    3,953.37x = 5,928.80 × 1,613.37
  4. Step 4: Simplify right side
    3,953.37x = 9,565,339.99
  5. Step 5: Solve for x
    x = 9,565,339.99/3,953.37
  6. Step 6: Final answer
    x = 2,419.54

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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.