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Finding the Fourth Proportional to 5,188.50, 7,785.99 and 2,110.50

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Solution

The fourth proportional to 5,188.50, 7,785.99 and 2,110.50 is: 3,167.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.50 : 7,785.99 = 2,110.50 : x
  2. Step 2: Convert to fraction form
    5,188.50/7,785.99 = 2,110.50/x
  3. Step 3: Cross multiply
    5,188.50x = 7,785.99 × 2,110.50
  4. Step 4: Simplify right side
    5,188.50x = 16,432,331.90
  5. Step 5: Solve for x
    x = 16,432,331.90/5,188.50
  6. Step 6: Final answer
    x = 3,167.07

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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.