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Finding the Fourth Proportional to 3,426.44, 5,138.16 and 1,373

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Solution

The fourth proportional to 3,426.44, 5,138.16 and 1,373 is: 2,058.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.44 : 5,138.16 = 1,373 : x
  2. Step 2: Convert to fraction form
    3,426.44/5,138.16 = 1,373/x
  3. Step 3: Cross multiply
    3,426.44x = 5,138.16 × 1,373
  4. Step 4: Simplify right side
    3,426.44x = 7,054,693.68
  5. Step 5: Solve for x
    x = 7,054,693.68/3,426.44
  6. Step 6: Final answer
    x = 2,058.90

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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.