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Finding the Fourth Proportional to 5,758, 8,635.38 and 1,861.90

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Solution

The fourth proportional to 5,758, 8,635.38 and 1,861.90 is: 2,792.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758 : 8,635.38 = 1,861.90 : x
  2. Step 2: Convert to fraction form
    5,758/8,635.38 = 1,861.90/x
  3. Step 3: Cross multiply
    5,758x = 8,635.38 × 1,861.90
  4. Step 4: Simplify right side
    5,758x = 16,078,214.02
  5. Step 5: Solve for x
    x = 16,078,214.02/5,758
  6. Step 6: Final answer
    x = 2,792.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.