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Finding the Fourth Proportional to 3,409.72, 4,704.02 and 2,150.34

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Solution

The fourth proportional to 3,409.72, 4,704.02 and 2,150.34 is: 2,966.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.72 : 4,704.02 = 2,150.34 : x
  2. Step 2: Convert to fraction form
    3,409.72/4,704.02 = 2,150.34/x
  3. Step 3: Cross multiply
    3,409.72x = 4,704.02 × 2,150.34
  4. Step 4: Simplify right side
    3,409.72x = 10,115,242.37
  5. Step 5: Solve for x
    x = 10,115,242.37/3,409.72
  6. Step 6: Final answer
    x = 2,966.59

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1.5x scale

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.