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Finding the Fourth Proportional to 5,194.69, 7,787.41 and 1,907.02

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Solution

The fourth proportional to 5,194.69, 7,787.41 and 1,907.02 is: 2,858.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.69 : 7,787.41 = 1,907.02 : x
  2. Step 2: Convert to fraction form
    5,194.69/7,787.41 = 1,907.02/x
  3. Step 3: Cross multiply
    5,194.69x = 7,787.41 × 1,907.02
  4. Step 4: Simplify right side
    5,194.69x = 14,850,746.62
  5. Step 5: Solve for x
    x = 14,850,746.62/5,194.69
  6. Step 6: Final answer
    x = 2,858.83

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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.