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Finding the Fourth Proportional to 1,671.88, 2,505.41 and 939.91

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Solution

The fourth proportional to 1,671.88, 2,505.41 and 939.91 is: 1,408.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.88 : 2,505.41 = 939.91 : x
  2. Step 2: Convert to fraction form
    1,671.88/2,505.41 = 939.91/x
  3. Step 3: Cross multiply
    1,671.88x = 2,505.41 × 939.91
  4. Step 4: Simplify right side
    1,671.88x = 2,354,859.91
  5. Step 5: Solve for x
    x = 2,354,859.91/1,671.88
  6. Step 6: Final answer
    x = 1,408.51

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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.