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Finding the Fourth Proportional to 3,409.68, 4,714.56 and 3,252

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Solution

The fourth proportional to 3,409.68, 4,714.56 and 3,252 is: 4,496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.68 : 4,714.56 = 3,252 : x
  2. Step 2: Convert to fraction form
    3,409.68/4,714.56 = 3,252/x
  3. Step 3: Cross multiply
    3,409.68x = 4,714.56 × 3,252
  4. Step 4: Simplify right side
    3,409.68x = 15,331,749.12
  5. Step 5: Solve for x
    x = 15,331,749.12/3,409.68
  6. Step 6: Final answer
    x = 4,496.54

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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.