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Finding the Fourth Proportional to 3,502.50, 4,832.73 and 2,085.54

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Solution

The fourth proportional to 3,502.50, 4,832.73 and 2,085.54 is: 2,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.50 : 4,832.73 = 2,085.54 : x
  2. Step 2: Convert to fraction form
    3,502.50/4,832.73 = 2,085.54/x
  3. Step 3: Cross multiply
    3,502.50x = 4,832.73 × 2,085.54
  4. Step 4: Simplify right side
    3,502.50x = 10,078,851.72
  5. Step 5: Solve for x
    x = 10,078,851.72/3,502.50
  6. Step 6: Final answer
    x = 2,877.62

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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.