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Finding the Fourth Proportional to 2,586.86, 3,861.51 and 2,394.12

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Solution

The fourth proportional to 2,586.86, 3,861.51 and 2,394.12 is: 3,573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.86 : 3,861.51 = 2,394.12 : x
  2. Step 2: Convert to fraction form
    2,586.86/3,861.51 = 2,394.12/x
  3. Step 3: Cross multiply
    2,586.86x = 3,861.51 × 2,394.12
  4. Step 4: Simplify right side
    2,586.86x = 9,244,918.32
  5. Step 5: Solve for x
    x = 9,244,918.32/2,586.86
  6. Step 6: Final answer
    x = 3,573.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.