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Finding the Fourth Proportional to 5,671.64, 7,828.41 and 3,682.09

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Solution

The fourth proportional to 5,671.64, 7,828.41 and 3,682.09 is: 5,082.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.64 : 7,828.41 = 3,682.09 : x
  2. Step 2: Convert to fraction form
    5,671.64/7,828.41 = 3,682.09/x
  3. Step 3: Cross multiply
    5,671.64x = 7,828.41 × 3,682.09
  4. Step 4: Simplify right side
    5,671.64x = 28,824,910.18
  5. Step 5: Solve for x
    x = 28,824,910.18/5,671.64
  6. Step 6: Final answer
    x = 5,082.29

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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.