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Finding the Fourth Proportional to 3,137.74, 4,706.96 and 1,381.99

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Solution

The fourth proportional to 3,137.74, 4,706.96 and 1,381.99 is: 2,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.74 : 4,706.96 = 1,381.99 : x
  2. Step 2: Convert to fraction form
    3,137.74/4,706.96 = 1,381.99/x
  3. Step 3: Cross multiply
    3,137.74x = 4,706.96 × 1,381.99
  4. Step 4: Simplify right side
    3,137.74x = 6,504,971.65
  5. Step 5: Solve for x
    x = 6,504,971.65/3,137.74
  6. Step 6: Final answer
    x = 2,073.14

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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.