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Finding the Fourth Proportional to 2,206.63, 3,310.35 and 907.39

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Solution

The fourth proportional to 2,206.63, 3,310.35 and 907.39 is: 1,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.63 : 3,310.35 = 907.39 : x
  2. Step 2: Convert to fraction form
    2,206.63/3,310.35 = 907.39/x
  3. Step 3: Cross multiply
    2,206.63x = 3,310.35 × 907.39
  4. Step 4: Simplify right side
    2,206.63x = 3,003,778.49
  5. Step 5: Solve for x
    x = 3,003,778.49/2,206.63
  6. Step 6: Final answer
    x = 1,361.25

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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.