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Finding the Fourth Proportional to 6,729.59, 9,286.86 and 4,075.10

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Solution

The fourth proportional to 6,729.59, 9,286.86 and 4,075.10 is: 5,623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.59 : 9,286.86 = 4,075.10 : x
  2. Step 2: Convert to fraction form
    6,729.59/9,286.86 = 4,075.10/x
  3. Step 3: Cross multiply
    6,729.59x = 9,286.86 × 4,075.10
  4. Step 4: Simplify right side
    6,729.59x = 37,844,836.75
  5. Step 5: Solve for x
    x = 37,844,836.75/6,729.59
  6. Step 6: Final answer
    x = 5,623.65

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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.