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Finding the Fourth Proportional to 3,409.52, 4,709.76 and 2,672.78

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Solution

The fourth proportional to 3,409.52, 4,709.76 and 2,672.78 is: 3,692.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.52 : 4,709.76 = 2,672.78 : x
  2. Step 2: Convert to fraction form
    3,409.52/4,709.76 = 2,672.78/x
  3. Step 3: Cross multiply
    3,409.52x = 4,709.76 × 2,672.78
  4. Step 4: Simplify right side
    3,409.52x = 12,588,152.33
  5. Step 5: Solve for x
    x = 12,588,152.33/3,409.52
  6. Step 6: Final answer
    x = 3,692.06

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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.