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Finding the Fourth Proportional to 3,502.98, 4,841.07 and 2,872.53

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Solution

The fourth proportional to 3,502.98, 4,841.07 and 2,872.53 is: 3,969.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.98 : 4,841.07 = 2,872.53 : x
  2. Step 2: Convert to fraction form
    3,502.98/4,841.07 = 2,872.53/x
  3. Step 3: Cross multiply
    3,502.98x = 4,841.07 × 2,872.53
  4. Step 4: Simplify right side
    3,502.98x = 13,906,118.81
  5. Step 5: Solve for x
    x = 13,906,118.81/3,502.98
  6. Step 6: Final answer
    x = 3,969.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.