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Finding the Fourth Proportional to 3,100.98, 4,279.84 and 1,774.51

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Solution

The fourth proportional to 3,100.98, 4,279.84 and 1,774.51 is: 2,449.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.98 : 4,279.84 = 1,774.51 : x
  2. Step 2: Convert to fraction form
    3,100.98/4,279.84 = 1,774.51/x
  3. Step 3: Cross multiply
    3,100.98x = 4,279.84 × 1,774.51
  4. Step 4: Simplify right side
    3,100.98x = 7,594,603.74
  5. Step 5: Solve for x
    x = 7,594,603.74/3,100.98
  6. Step 6: Final answer
    x = 2,449.09

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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.