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Finding the Fourth Proportional to 5,102.79, 7,649.92 and 1,982.06

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Solution

The fourth proportional to 5,102.79, 7,649.92 and 1,982.06 is: 2,971.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.79 : 7,649.92 = 1,982.06 : x
  2. Step 2: Convert to fraction form
    5,102.79/7,649.92 = 1,982.06/x
  3. Step 3: Cross multiply
    5,102.79x = 7,649.92 × 1,982.06
  4. Step 4: Simplify right side
    5,102.79x = 15,162,600.44
  5. Step 5: Solve for x
    x = 15,162,600.44/5,102.79
  6. Step 6: Final answer
    x = 2,971.43

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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.