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Finding the Fourth Proportional to 3,153.56, 4,730.22 and 845

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Solution

The fourth proportional to 3,153.56, 4,730.22 and 845 is: 1,267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.56 : 4,730.22 = 845 : x
  2. Step 2: Convert to fraction form
    3,153.56/4,730.22 = 845/x
  3. Step 3: Cross multiply
    3,153.56x = 4,730.22 × 845
  4. Step 4: Simplify right side
    3,153.56x = 3,997,035.90
  5. Step 5: Solve for x
    x = 3,997,035.90/3,153.56
  6. Step 6: Final answer
    x = 1,267.47

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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.