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Finding the Fourth Proportional to 3,234.13, 4,853.22 and 1,502.80

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Solution

The fourth proportional to 3,234.13, 4,853.22 and 1,502.80 is: 2,255.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.13 : 4,853.22 = 1,502.80 : x
  2. Step 2: Convert to fraction form
    3,234.13/4,853.22 = 1,502.80/x
  3. Step 3: Cross multiply
    3,234.13x = 4,853.22 × 1,502.80
  4. Step 4: Simplify right side
    3,234.13x = 7,293,419.02
  5. Step 5: Solve for x
    x = 7,293,419.02/3,234.13
  6. Step 6: Final answer
    x = 2,255.14

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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.