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Finding the Fourth Proportional to 2,647.23, 3,964.23 and 1,868.01

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Solution

The fourth proportional to 2,647.23, 3,964.23 and 1,868.01 is: 2,797.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.23 : 3,964.23 = 1,868.01 : x
  2. Step 2: Convert to fraction form
    2,647.23/3,964.23 = 1,868.01/x
  3. Step 3: Cross multiply
    2,647.23x = 3,964.23 × 1,868.01
  4. Step 4: Simplify right side
    2,647.23x = 7,405,221.28
  5. Step 5: Solve for x
    x = 7,405,221.28/2,647.23
  6. Step 6: Final answer
    x = 2,797.35

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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.