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Finding the Fourth Proportional to 2,011.43, 3,018 and 841.70

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Solution

The fourth proportional to 2,011.43, 3,018 and 841.70 is: 1,262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.43 : 3,018 = 841.70 : x
  2. Step 2: Convert to fraction form
    2,011.43/3,018 = 841.70/x
  3. Step 3: Cross multiply
    2,011.43x = 3,018 × 841.70
  4. Step 4: Simplify right side
    2,011.43x = 2,540,258.15
  5. Step 5: Solve for x
    x = 2,540,258.15/2,011.43
  6. Step 6: Final answer
    x = 1,262.91

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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.