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Finding the Fourth Proportional to 2,787.58, 4,180.20 and 938.25

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Solution

The fourth proportional to 2,787.58, 4,180.20 and 938.25 is: 1,406.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.58 : 4,180.20 = 938.25 : x
  2. Step 2: Convert to fraction form
    2,787.58/4,180.20 = 938.25/x
  3. Step 3: Cross multiply
    2,787.58x = 4,180.20 × 938.25
  4. Step 4: Simplify right side
    2,787.58x = 3,922,051.75
  5. Step 5: Solve for x
    x = 3,922,051.75/2,787.58
  6. Step 6: Final answer
    x = 1,406.97

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1.5x scale

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.