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Finding the Fourth Proportional to 1,963.89, 2,707.65 and 1,608.50

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Solution

The fourth proportional to 1,963.89, 2,707.65 and 1,608.50 is: 2,217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.89 : 2,707.65 = 1,608.50 : x
  2. Step 2: Convert to fraction form
    1,963.89/2,707.65 = 1,608.50/x
  3. Step 3: Cross multiply
    1,963.89x = 2,707.65 × 1,608.50
  4. Step 4: Simplify right side
    1,963.89x = 4,355,240.21
  5. Step 5: Solve for x
    x = 4,355,240.21/1,963.89
  6. Step 6: Final answer
    x = 2,217.67

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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.