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Finding the Fourth Proportional to 1,639, 2,261.91 and 940.42

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Solution

The fourth proportional to 1,639, 2,261.91 and 940.42 is: 1,297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639 : 2,261.91 = 940.42 : x
  2. Step 2: Convert to fraction form
    1,639/2,261.91 = 940.42/x
  3. Step 3: Cross multiply
    1,639x = 2,261.91 × 940.42
  4. Step 4: Simplify right side
    1,639x = 2,127,145.40
  5. Step 5: Solve for x
    x = 2,127,145.40/1,639
  6. Step 6: Final answer
    x = 1,297.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.