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Finding the Fourth Proportional to 3,083.76, 4,625.60 and 775.26

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Solution

The fourth proportional to 3,083.76, 4,625.60 and 775.26 is: 1,162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.76 : 4,625.60 = 775.26 : x
  2. Step 2: Convert to fraction form
    3,083.76/4,625.60 = 775.26/x
  3. Step 3: Cross multiply
    3,083.76x = 4,625.60 × 775.26
  4. Step 4: Simplify right side
    3,083.76x = 3,586,042.66
  5. Step 5: Solve for x
    x = 3,586,042.66/3,083.76
  6. Step 6: Final answer
    x = 1,162.88

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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.