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Finding the Fourth Proportional to 3,172.62, 4,758.66 and 981.48

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Solution

The fourth proportional to 3,172.62, 4,758.66 and 981.48 is: 1,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.62 : 4,758.66 = 981.48 : x
  2. Step 2: Convert to fraction form
    3,172.62/4,758.66 = 981.48/x
  3. Step 3: Cross multiply
    3,172.62x = 4,758.66 × 981.48
  4. Step 4: Simplify right side
    3,172.62x = 4,670,529.62
  5. Step 5: Solve for x
    x = 4,670,529.62/3,172.62
  6. Step 6: Final answer
    x = 1,472.14

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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.