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Finding the Fourth Proportional to 3,597.12, 5,395.86 and 1,405.08

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Solution

The fourth proportional to 3,597.12, 5,395.86 and 1,405.08 is: 2,107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.12 : 5,395.86 = 1,405.08 : x
  2. Step 2: Convert to fraction form
    3,597.12/5,395.86 = 1,405.08/x
  3. Step 3: Cross multiply
    3,597.12x = 5,395.86 × 1,405.08
  4. Step 4: Simplify right side
    3,597.12x = 7,581,614.97
  5. Step 5: Solve for x
    x = 7,581,614.97/3,597.12
  6. Step 6: Final answer
    x = 2,107.69

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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.