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Finding the Fourth Proportional to 2,911.87, 4,367.71 and 964.06

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Solution

The fourth proportional to 2,911.87, 4,367.71 and 964.06 is: 1,446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.87 : 4,367.71 = 964.06 : x
  2. Step 2: Convert to fraction form
    2,911.87/4,367.71 = 964.06/x
  3. Step 3: Cross multiply
    2,911.87x = 4,367.71 × 964.06
  4. Step 4: Simplify right side
    2,911.87x = 4,210,719.37
  5. Step 5: Solve for x
    x = 4,210,719.37/2,911.87
  6. Step 6: Final answer
    x = 1,446.05

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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.