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Finding the Fourth Proportional to 8,719.50, 13,081.77 and 2,563.50

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Solution

The fourth proportional to 8,719.50, 13,081.77 and 2,563.50 is: 3,845.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,719.50 : 13,081.77 = 2,563.50 : x
  2. Step 2: Convert to fraction form
    8,719.50/13,081.77 = 2,563.50/x
  3. Step 3: Cross multiply
    8,719.50x = 13,081.77 × 2,563.50
  4. Step 4: Simplify right side
    8,719.50x = 33,535,117.40
  5. Step 5: Solve for x
    x = 33,535,117.40/8,719.50
  6. Step 6: Final answer
    x = 3,845.99

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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.