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Finding the Fourth Proportional to 5,102.32, 7,651.86 and 1,982.11

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Solution

The fourth proportional to 5,102.32, 7,651.86 and 1,982.11 is: 2,972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.32 : 7,651.86 = 1,982.11 : x
  2. Step 2: Convert to fraction form
    5,102.32/7,651.86 = 1,982.11/x
  3. Step 3: Cross multiply
    5,102.32x = 7,651.86 × 1,982.11
  4. Step 4: Simplify right side
    5,102.32x = 15,166,828.22
  5. Step 5: Solve for x
    x = 15,166,828.22/5,102.32
  6. Step 6: Final answer
    x = 2,972.54

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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.