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Finding the Fourth Proportional to 3,416.78, 4,709.61 and 2,669.43

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Solution

The fourth proportional to 3,416.78, 4,709.61 and 2,669.43 is: 3,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.78 : 4,709.61 = 2,669.43 : x
  2. Step 2: Convert to fraction form
    3,416.78/4,709.61 = 2,669.43/x
  3. Step 3: Cross multiply
    3,416.78x = 4,709.61 × 2,669.43
  4. Step 4: Simplify right side
    3,416.78x = 12,571,974.22
  5. Step 5: Solve for x
    x = 12,571,974.22/3,416.78
  6. Step 6: Final answer
    x = 3,679.49

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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.