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Finding the Fourth Proportional to 7,228.81, 10,843.31 and 1,964.08

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Solution

The fourth proportional to 7,228.81, 10,843.31 and 1,964.08 is: 2,946.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.81 : 10,843.31 = 1,964.08 : x
  2. Step 2: Convert to fraction form
    7,228.81/10,843.31 = 1,964.08/x
  3. Step 3: Cross multiply
    7,228.81x = 10,843.31 × 1,964.08
  4. Step 4: Simplify right side
    7,228.81x = 21,297,128.30
  5. Step 5: Solve for x
    x = 21,297,128.30/7,228.81
  6. Step 6: Final answer
    x = 2,946.15

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1.5x scale

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.