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Finding the Fourth Proportional to 3,394, 5,091 and 1,342

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Solution

The fourth proportional to 3,394, 5,091 and 1,342 is: 2,013

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394 : 5,091 = 1,342 : x
  2. Step 2: Convert to fraction form
    3,394/5,091 = 1,342/x
  3. Step 3: Cross multiply
    3,394x = 5,091 × 1,342
  4. Step 4: Simplify right side
    3,394x = 6,832,122
  5. Step 5: Solve for x
    x = 6,832,122/3,394
  6. Step 6: Final answer
    x = 2,013

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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.