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Finding the Fourth Proportional to 2,636.28, 3,953.10 and 880.67

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Solution

The fourth proportional to 2,636.28, 3,953.10 and 880.67 is: 1,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.28 : 3,953.10 = 880.67 : x
  2. Step 2: Convert to fraction form
    2,636.28/3,953.10 = 880.67/x
  3. Step 3: Cross multiply
    2,636.28x = 3,953.10 × 880.67
  4. Step 4: Simplify right side
    2,636.28x = 3,481,376.58
  5. Step 5: Solve for x
    x = 3,481,376.58/2,636.28
  6. Step 6: Final answer
    x = 1,320.56

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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.