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Finding the Fourth Proportional to 2,787.74, 4,178.37 and 1,245.50

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Solution

The fourth proportional to 2,787.74, 4,178.37 and 1,245.50 is: 1,866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.74 : 4,178.37 = 1,245.50 : x
  2. Step 2: Convert to fraction form
    2,787.74/4,178.37 = 1,245.50/x
  3. Step 3: Cross multiply
    2,787.74x = 4,178.37 × 1,245.50
  4. Step 4: Simplify right side
    2,787.74x = 5,204,159.84
  5. Step 5: Solve for x
    x = 5,204,159.84/2,787.74
  6. Step 6: Final answer
    x = 1,866.80

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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.