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Finding the Fourth Proportional to 1,906.70, 2,631.76 and 1,121.00

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Solution

The fourth proportional to 1,906.70, 2,631.76 and 1,121.00 is: 1,547.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.70 : 2,631.76 = 1,121.00 : x
  2. Step 2: Convert to fraction form
    1,906.70/2,631.76 = 1,121.00/x
  3. Step 3: Cross multiply
    1,906.70x = 2,631.76 × 1,121.00
  4. Step 4: Simplify right side
    1,906.70x = 2,950,187.00
  5. Step 5: Solve for x
    x = 2,950,187.00/1,906.70
  6. Step 6: Final answer
    x = 1,547.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.