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Finding the Fourth Proportional to 2,539.76, 3,809.92 and 896.08

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Solution

The fourth proportional to 2,539.76, 3,809.92 and 896.08 is: 1,344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.76 : 3,809.92 = 896.08 : x
  2. Step 2: Convert to fraction form
    2,539.76/3,809.92 = 896.08/x
  3. Step 3: Cross multiply
    2,539.76x = 3,809.92 × 896.08
  4. Step 4: Simplify right side
    2,539.76x = 3,413,993.11
  5. Step 5: Solve for x
    x = 3,413,993.11/2,539.76
  6. Step 6: Final answer
    x = 1,344.22

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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.