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Finding the Fourth Proportional to 2,651.52, 3,978 and 802.56

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Solution

The fourth proportional to 2,651.52, 3,978 and 802.56 is: 1,204.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.52 : 3,978 = 802.56 : x
  2. Step 2: Convert to fraction form
    2,651.52/3,978 = 802.56/x
  3. Step 3: Cross multiply
    2,651.52x = 3,978 × 802.56
  4. Step 4: Simplify right side
    2,651.52x = 3,192,583.68
  5. Step 5: Solve for x
    x = 3,192,583.68/2,651.52
  6. Step 6: Final answer
    x = 1,204.06

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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.