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Finding the Fourth Proportional to 2,989.31, 4,483.97 and 937.31

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Solution

The fourth proportional to 2,989.31, 4,483.97 and 937.31 is: 1,405.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.31 : 4,483.97 = 937.31 : x
  2. Step 2: Convert to fraction form
    2,989.31/4,483.97 = 937.31/x
  3. Step 3: Cross multiply
    2,989.31x = 4,483.97 × 937.31
  4. Step 4: Simplify right side
    2,989.31x = 4,202,879.96
  5. Step 5: Solve for x
    x = 4,202,879.96/2,989.31
  6. Step 6: Final answer
    x = 1,405.97

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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.