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Finding the Fourth Proportional to 3,172.78, 4,759.92 and 981.54

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Solution

The fourth proportional to 3,172.78, 4,759.92 and 981.54 is: 1,472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.78 : 4,759.92 = 981.54 : x
  2. Step 2: Convert to fraction form
    3,172.78/4,759.92 = 981.54/x
  3. Step 3: Cross multiply
    3,172.78x = 4,759.92 × 981.54
  4. Step 4: Simplify right side
    3,172.78x = 4,672,051.88
  5. Step 5: Solve for x
    x = 4,672,051.88/3,172.78
  6. Step 6: Final answer
    x = 1,472.54

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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.