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Finding the Fourth Proportional to 3,464.15, 4,780.14 and 1,951.43

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Solution

The fourth proportional to 3,464.15, 4,780.14 and 1,951.43 is: 2,692.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.15 : 4,780.14 = 1,951.43 : x
  2. Step 2: Convert to fraction form
    3,464.15/4,780.14 = 1,951.43/x
  3. Step 3: Cross multiply
    3,464.15x = 4,780.14 × 1,951.43
  4. Step 4: Simplify right side
    3,464.15x = 9,328,084.70
  5. Step 5: Solve for x
    x = 9,328,084.70/3,464.15
  6. Step 6: Final answer
    x = 2,692.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.