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Finding the Fourth Proportional to 1,964.10, 2,946.90 and 867.69

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Solution

The fourth proportional to 1,964.10, 2,946.90 and 867.69 is: 1,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.10 : 2,946.90 = 867.69 : x
  2. Step 2: Convert to fraction form
    1,964.10/2,946.90 = 867.69/x
  3. Step 3: Cross multiply
    1,964.10x = 2,946.90 × 867.69
  4. Step 4: Simplify right side
    1,964.10x = 2,556,995.66
  5. Step 5: Solve for x
    x = 2,556,995.66/1,964.10
  6. Step 6: Final answer
    x = 1,301.87

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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.