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Finding the Fourth Proportional to 2,911.69, 4,368.25 and 964.09

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Solution

The fourth proportional to 2,911.69, 4,368.25 and 964.09 is: 1,446.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.69 : 4,368.25 = 964.09 : x
  2. Step 2: Convert to fraction form
    2,911.69/4,368.25 = 964.09/x
  3. Step 3: Cross multiply
    2,911.69x = 4,368.25 × 964.09
  4. Step 4: Simplify right side
    2,911.69x = 4,211,364.30
  5. Step 5: Solve for x
    x = 4,211,364.30/2,911.69
  6. Step 6: Final answer
    x = 1,446.37

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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.