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Finding the Fourth Proportional to 3,131.04, 4,696.04 and 1,375.64

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Solution

The fourth proportional to 3,131.04, 4,696.04 and 1,375.64 is: 2,063.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.04 : 4,696.04 = 1,375.64 : x
  2. Step 2: Convert to fraction form
    3,131.04/4,696.04 = 1,375.64/x
  3. Step 3: Cross multiply
    3,131.04x = 4,696.04 × 1,375.64
  4. Step 4: Simplify right side
    3,131.04x = 6,460,060.47
  5. Step 5: Solve for x
    x = 6,460,060.47/3,131.04
  6. Step 6: Final answer
    x = 2,063.23

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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.