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Finding the Fourth Proportional to 2,644, 3,964.04 and 1,604.24

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Solution

The fourth proportional to 2,644, 3,964.04 and 1,604.24 is: 2,405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644 : 3,964.04 = 1,604.24 : x
  2. Step 2: Convert to fraction form
    2,644/3,964.04 = 1,604.24/x
  3. Step 3: Cross multiply
    2,644x = 3,964.04 × 1,604.24
  4. Step 4: Simplify right side
    2,644x = 6,359,271.53
  5. Step 5: Solve for x
    x = 6,359,271.53/2,644
  6. Step 6: Final answer
    x = 2,405.17

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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.