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Finding the Fourth Proportional to 3,172.87, 4,759.77 and 981.77

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Solution

The fourth proportional to 3,172.87, 4,759.77 and 981.77 is: 1,472.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.87 : 4,759.77 = 981.77 : x
  2. Step 2: Convert to fraction form
    3,172.87/4,759.77 = 981.77/x
  3. Step 3: Cross multiply
    3,172.87x = 4,759.77 × 981.77
  4. Step 4: Simplify right side
    3,172.87x = 4,673,013.91
  5. Step 5: Solve for x
    x = 4,673,013.91/3,172.87
  6. Step 6: Final answer
    x = 1,472.80

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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.