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Finding the Fourth Proportional to 5,851.82, 8,075.40 and 3,199.22

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Solution

The fourth proportional to 5,851.82, 8,075.40 and 3,199.22 is: 4,414.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.82 : 8,075.40 = 3,199.22 : x
  2. Step 2: Convert to fraction form
    5,851.82/8,075.40 = 3,199.22/x
  3. Step 3: Cross multiply
    5,851.82x = 8,075.40 × 3,199.22
  4. Step 4: Simplify right side
    5,851.82x = 25,834,981.19
  5. Step 5: Solve for x
    x = 25,834,981.19/5,851.82
  6. Step 6: Final answer
    x = 4,414.86

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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.