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Finding the Fourth Proportional to 2,608.70, 3,911.79 and 964.40

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Solution

The fourth proportional to 2,608.70, 3,911.79 and 964.40 is: 1,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.70 : 3,911.79 = 964.40 : x
  2. Step 2: Convert to fraction form
    2,608.70/3,911.79 = 964.40/x
  3. Step 3: Cross multiply
    2,608.70x = 3,911.79 × 964.40
  4. Step 4: Simplify right side
    2,608.70x = 3,772,530.28
  5. Step 5: Solve for x
    x = 3,772,530.28/2,608.70
  6. Step 6: Final answer
    x = 1,446.13

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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.