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Finding the Fourth Proportional to 1,377.62, 1,899.21 and 1,334.54

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Solution

The fourth proportional to 1,377.62, 1,899.21 and 1,334.54 is: 1,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.62 : 1,899.21 = 1,334.54 : x
  2. Step 2: Convert to fraction form
    1,377.62/1,899.21 = 1,334.54/x
  3. Step 3: Cross multiply
    1,377.62x = 1,899.21 × 1,334.54
  4. Step 4: Simplify right side
    1,377.62x = 2,534,562.22
  5. Step 5: Solve for x
    x = 2,534,562.22/1,377.62
  6. Step 6: Final answer
    x = 1,839.82

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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.