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Finding the Fourth Proportional to 2,536.79, 3,805.20 and 1,076.96

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Solution

The fourth proportional to 2,536.79, 3,805.20 and 1,076.96 is: 1,615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.79 : 3,805.20 = 1,076.96 : x
  2. Step 2: Convert to fraction form
    2,536.79/3,805.20 = 1,076.96/x
  3. Step 3: Cross multiply
    2,536.79x = 3,805.20 × 1,076.96
  4. Step 4: Simplify right side
    2,536.79x = 4,098,048.19
  5. Step 5: Solve for x
    x = 4,098,048.19/2,536.79
  6. Step 6: Final answer
    x = 1,615.45

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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.