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Finding the Fourth Proportional to 8,111.17, 12,162.50 and 3,724.82

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Solution

The fourth proportional to 8,111.17, 12,162.50 and 3,724.82 is: 5,585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.17 : 12,162.50 = 3,724.82 : x
  2. Step 2: Convert to fraction form
    8,111.17/12,162.50 = 3,724.82/x
  3. Step 3: Cross multiply
    8,111.17x = 12,162.50 × 3,724.82
  4. Step 4: Simplify right side
    8,111.17x = 45,303,043.81
  5. Step 5: Solve for x
    x = 45,303,043.81/8,111.17
  6. Step 6: Final answer
    x = 5,585.27

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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.