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Finding the Fourth Proportional to 3,480.53, 5,225.66 and 2,314.13

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Solution

The fourth proportional to 3,480.53, 5,225.66 and 2,314.13 is: 3,474.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.53 : 5,225.66 = 2,314.13 : x
  2. Step 2: Convert to fraction form
    3,480.53/5,225.66 = 2,314.13/x
  3. Step 3: Cross multiply
    3,480.53x = 5,225.66 × 2,314.13
  4. Step 4: Simplify right side
    3,480.53x = 12,092,845.01
  5. Step 5: Solve for x
    x = 12,092,845.01/3,480.53
  6. Step 6: Final answer
    x = 3,474.43

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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.