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Finding the Fourth Proportional to 3,101, 4,279.41 and 1,703.78

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Solution

The fourth proportional to 3,101, 4,279.41 and 1,703.78 is: 2,351.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101 : 4,279.41 = 1,703.78 : x
  2. Step 2: Convert to fraction form
    3,101/4,279.41 = 1,703.78/x
  3. Step 3: Cross multiply
    3,101x = 4,279.41 × 1,703.78
  4. Step 4: Simplify right side
    3,101x = 7,291,173.17
  5. Step 5: Solve for x
    x = 7,291,173.17/3,101
  6. Step 6: Final answer
    x = 2,351.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.