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Finding the Fourth Proportional to 3,581.64, 4,942.44 and 2,520.90

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Solution

The fourth proportional to 3,581.64, 4,942.44 and 2,520.90 is: 3,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.64 : 4,942.44 = 2,520.90 : x
  2. Step 2: Convert to fraction form
    3,581.64/4,942.44 = 2,520.90/x
  3. Step 3: Cross multiply
    3,581.64x = 4,942.44 × 2,520.90
  4. Step 4: Simplify right side
    3,581.64x = 12,459,397.00
  5. Step 5: Solve for x
    x = 12,459,397.00/3,581.64
  6. Step 6: Final answer
    x = 3,478.68

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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.