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Finding the Fourth Proportional to 8,102.50, 12,154.50 and 3,719.32

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Solution

The fourth proportional to 8,102.50, 12,154.50 and 3,719.32 is: 5,579.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.50 : 12,154.50 = 3,719.32 : x
  2. Step 2: Convert to fraction form
    8,102.50/12,154.50 = 3,719.32/x
  3. Step 3: Cross multiply
    8,102.50x = 12,154.50 × 3,719.32
  4. Step 4: Simplify right side
    8,102.50x = 45,206,474.94
  5. Step 5: Solve for x
    x = 45,206,474.94/8,102.50
  6. Step 6: Final answer
    x = 5,579.32

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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.