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Finding the Fourth Proportional to 3,312.74, 4,969.74 and 1,121.82

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Solution

The fourth proportional to 3,312.74, 4,969.74 and 1,121.82 is: 1,682.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.74 : 4,969.74 = 1,121.82 : x
  2. Step 2: Convert to fraction form
    3,312.74/4,969.74 = 1,121.82/x
  3. Step 3: Cross multiply
    3,312.74x = 4,969.74 × 1,121.82
  4. Step 4: Simplify right side
    3,312.74x = 5,575,153.73
  5. Step 5: Solve for x
    x = 5,575,153.73/3,312.74
  6. Step 6: Final answer
    x = 1,682.95

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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.