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Finding the Fourth Proportional to 2,146.70, 3,236.13 and 2,003.82

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Solution

The fourth proportional to 2,146.70, 3,236.13 and 2,003.82 is: 3,020.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.70 : 3,236.13 = 2,003.82 : x
  2. Step 2: Convert to fraction form
    2,146.70/3,236.13 = 2,003.82/x
  3. Step 3: Cross multiply
    2,146.70x = 3,236.13 × 2,003.82
  4. Step 4: Simplify right side
    2,146.70x = 6,484,622.02
  5. Step 5: Solve for x
    x = 6,484,622.02/2,146.70
  6. Step 6: Final answer
    x = 3,020.74

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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.