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Finding the Fourth Proportional to 7,874.84, 11,812.17 and 3,193.74

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Solution

The fourth proportional to 7,874.84, 11,812.17 and 3,193.74 is: 4,790.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.84 : 11,812.17 = 3,193.74 : x
  2. Step 2: Convert to fraction form
    7,874.84/11,812.17 = 3,193.74/x
  3. Step 3: Cross multiply
    7,874.84x = 11,812.17 × 3,193.74
  4. Step 4: Simplify right side
    7,874.84x = 37,724,999.82
  5. Step 5: Solve for x
    x = 37,724,999.82/7,874.84
  6. Step 6: Final answer
    x = 4,790.57

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1.5x scale

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.