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Finding the Fourth Proportional to 3,640.56, 5,023.80 and 2,068.62

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Solution

The fourth proportional to 3,640.56, 5,023.80 and 2,068.62 is: 2,854.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.56 : 5,023.80 = 2,068.62 : x
  2. Step 2: Convert to fraction form
    3,640.56/5,023.80 = 2,068.62/x
  3. Step 3: Cross multiply
    3,640.56x = 5,023.80 × 2,068.62
  4. Step 4: Simplify right side
    3,640.56x = 10,392,333.16
  5. Step 5: Solve for x
    x = 10,392,333.16/3,640.56
  6. Step 6: Final answer
    x = 2,854.60

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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.