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Finding the Fourth Proportional to 1,699.98, 2,550.71 and 1,084.87

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Solution

The fourth proportional to 1,699.98, 2,550.71 and 1,084.87 is: 1,627.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.98 : 2,550.71 = 1,084.87 : x
  2. Step 2: Convert to fraction form
    1,699.98/2,550.71 = 1,084.87/x
  3. Step 3: Cross multiply
    1,699.98x = 2,550.71 × 1,084.87
  4. Step 4: Simplify right side
    1,699.98x = 2,767,188.76
  5. Step 5: Solve for x
    x = 2,767,188.76/1,699.98
  6. Step 6: Final answer
    x = 1,627.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.