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Finding the Fourth Proportional to 1,787.85, 2,676.92 and 920.34

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Solution

The fourth proportional to 1,787.85, 2,676.92 and 920.34 is: 1,378.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.85 : 2,676.92 = 920.34 : x
  2. Step 2: Convert to fraction form
    1,787.85/2,676.92 = 920.34/x
  3. Step 3: Cross multiply
    1,787.85x = 2,676.92 × 920.34
  4. Step 4: Simplify right side
    1,787.85x = 2,463,671.95
  5. Step 5: Solve for x
    x = 2,463,671.95/1,787.85
  6. Step 6: Final answer
    x = 1,378.01

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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.