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Finding the Fourth Proportional to 6,435.56, 8,881.94 and 3,641

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Solution

The fourth proportional to 6,435.56, 8,881.94 and 3,641 is: 5,025.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.56 : 8,881.94 = 3,641 : x
  2. Step 2: Convert to fraction form
    6,435.56/8,881.94 = 3,641/x
  3. Step 3: Cross multiply
    6,435.56x = 8,881.94 × 3,641
  4. Step 4: Simplify right side
    6,435.56x = 32,339,143.54
  5. Step 5: Solve for x
    x = 32,339,143.54/6,435.56
  6. Step 6: Final answer
    x = 5,025.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.