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Finding the Fourth Proportional to 3,482.14, 5,219.21 and 1,400.81

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Solution

The fourth proportional to 3,482.14, 5,219.21 and 1,400.81 is: 2,099.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.14 : 5,219.21 = 1,400.81 : x
  2. Step 2: Convert to fraction form
    3,482.14/5,219.21 = 1,400.81/x
  3. Step 3: Cross multiply
    3,482.14x = 5,219.21 × 1,400.81
  4. Step 4: Simplify right side
    3,482.14x = 7,311,095.46
  5. Step 5: Solve for x
    x = 7,311,095.46/3,482.14
  6. Step 6: Final answer
    x = 2,099.60

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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.