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Finding the Fourth Proportional to 3,622, 5,435.16 and 1,570

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Solution

The fourth proportional to 3,622, 5,435.16 and 1,570 is: 2,355.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622 : 5,435.16 = 1,570 : x
  2. Step 2: Convert to fraction form
    3,622/5,435.16 = 1,570/x
  3. Step 3: Cross multiply
    3,622x = 5,435.16 × 1,570
  4. Step 4: Simplify right side
    3,622x = 8,533,201.20
  5. Step 5: Solve for x
    x = 8,533,201.20/3,622
  6. Step 6: Final answer
    x = 2,355.94

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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.