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Finding the Fourth Proportional to 2,573.76, 3,861.24 and 842.28

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Solution

The fourth proportional to 2,573.76, 3,861.24 and 842.28 is: 1,263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.76 : 3,861.24 = 842.28 : x
  2. Step 2: Convert to fraction form
    2,573.76/3,861.24 = 842.28/x
  3. Step 3: Cross multiply
    2,573.76x = 3,861.24 × 842.28
  4. Step 4: Simplify right side
    2,573.76x = 3,252,245.23
  5. Step 5: Solve for x
    x = 3,252,245.23/2,573.76
  6. Step 6: Final answer
    x = 1,263.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.