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Finding the Fourth Proportional to 5,661.78, 7,813.26 and 3,305.46

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Solution

The fourth proportional to 5,661.78, 7,813.26 and 3,305.46 is: 4,561.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.78 : 7,813.26 = 3,305.46 : x
  2. Step 2: Convert to fraction form
    5,661.78/7,813.26 = 3,305.46/x
  3. Step 3: Cross multiply
    5,661.78x = 7,813.26 × 3,305.46
  4. Step 4: Simplify right side
    5,661.78x = 25,826,418.40
  5. Step 5: Solve for x
    x = 25,826,418.40/5,661.78
  6. Step 6: Final answer
    x = 4,561.54

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1.5x scale

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.