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Finding the Fourth Proportional to 4,652, 6,419.81 and 2,556.17

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Solution

The fourth proportional to 4,652, 6,419.81 and 2,556.17 is: 3,527.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652 : 6,419.81 = 2,556.17 : x
  2. Step 2: Convert to fraction form
    4,652/6,419.81 = 2,556.17/x
  3. Step 3: Cross multiply
    4,652x = 6,419.81 × 2,556.17
  4. Step 4: Simplify right side
    4,652x = 16,410,125.73
  5. Step 5: Solve for x
    x = 16,410,125.73/4,652
  6. Step 6: Final answer
    x = 3,527.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.