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Finding the Fourth Proportional to 1,003.21, 1,512.31 and 936.31

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Solution

The fourth proportional to 1,003.21, 1,512.31 and 936.31 is: 1,411.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.21 : 1,512.31 = 936.31 : x
  2. Step 2: Convert to fraction form
    1,003.21/1,512.31 = 936.31/x
  3. Step 3: Cross multiply
    1,003.21x = 1,512.31 × 936.31
  4. Step 4: Simplify right side
    1,003.21x = 1,415,990.98
  5. Step 5: Solve for x
    x = 1,415,990.98/1,003.21
  6. Step 6: Final answer
    x = 1,411.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.