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Finding the Fourth Proportional to 3,677.60, 5,075.11 and 1,999.00

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Solution

The fourth proportional to 3,677.60, 5,075.11 and 1,999.00 is: 2,758.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.60 : 5,075.11 = 1,999.00 : x
  2. Step 2: Convert to fraction form
    3,677.60/5,075.11 = 1,999.00/x
  3. Step 3: Cross multiply
    3,677.60x = 5,075.11 × 1,999.00
  4. Step 4: Simplify right side
    3,677.60x = 10,145,153.73
  5. Step 5: Solve for x
    x = 10,145,153.73/3,677.60
  6. Step 6: Final answer
    x = 2,758.64

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Why These Related Problems?

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