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Finding the Fourth Proportional to 2,684.73, 3,706.65 and 2,188.56

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Solution

The fourth proportional to 2,684.73, 3,706.65 and 2,188.56 is: 3,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.73 : 3,706.65 = 2,188.56 : x
  2. Step 2: Convert to fraction form
    2,684.73/3,706.65 = 2,188.56/x
  3. Step 3: Cross multiply
    2,684.73x = 3,706.65 × 2,188.56
  4. Step 4: Simplify right side
    2,684.73x = 8,112,225.92
  5. Step 5: Solve for x
    x = 8,112,225.92/2,684.73
  6. Step 6: Final answer
    x = 3,021.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.