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Finding the Fourth Proportional to 3,202.56, 4,804.08 and 894

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Solution

The fourth proportional to 3,202.56, 4,804.08 and 894 is: 1,341.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.56 : 4,804.08 = 894 : x
  2. Step 2: Convert to fraction form
    3,202.56/4,804.08 = 894/x
  3. Step 3: Cross multiply
    3,202.56x = 4,804.08 × 894
  4. Step 4: Simplify right side
    3,202.56x = 4,294,847.52
  5. Step 5: Solve for x
    x = 4,294,847.52/3,202.56
  6. Step 6: Final answer
    x = 1,341.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.