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Finding the Fourth Proportional to 2,755.67, 4,133.57 and 906.80

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Solution

The fourth proportional to 2,755.67, 4,133.57 and 906.80 is: 1,360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.67 : 4,133.57 = 906.80 : x
  2. Step 2: Convert to fraction form
    2,755.67/4,133.57 = 906.80/x
  3. Step 3: Cross multiply
    2,755.67x = 4,133.57 × 906.80
  4. Step 4: Simplify right side
    2,755.67x = 3,748,296.07
  5. Step 5: Solve for x
    x = 3,748,296.07/2,755.67
  6. Step 6: Final answer
    x = 1,360.21

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1.5x scale

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.