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Finding the Fourth Proportional to 3,083.74, 4,625.18 and 1,003.78

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Solution

The fourth proportional to 3,083.74, 4,625.18 and 1,003.78 is: 1,505.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.74 : 4,625.18 = 1,003.78 : x
  2. Step 2: Convert to fraction form
    3,083.74/4,625.18 = 1,003.78/x
  3. Step 3: Cross multiply
    3,083.74x = 4,625.18 × 1,003.78
  4. Step 4: Simplify right side
    3,083.74x = 4,642,663.18
  5. Step 5: Solve for x
    x = 4,642,663.18/3,083.74
  6. Step 6: Final answer
    x = 1,505.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.