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Finding the Fourth Proportional to 7,100.89, 9,797.64 and 4,075.82

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Solution

The fourth proportional to 7,100.89, 9,797.64 and 4,075.82 is: 5,623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.89 : 9,797.64 = 4,075.82 : x
  2. Step 2: Convert to fraction form
    7,100.89/9,797.64 = 4,075.82/x
  3. Step 3: Cross multiply
    7,100.89x = 9,797.64 × 4,075.82
  4. Step 4: Simplify right side
    7,100.89x = 39,933,427.25
  5. Step 5: Solve for x
    x = 39,933,427.25/7,100.89
  6. Step 6: Final answer
    x = 5,623.73

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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.