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Finding the Fourth Proportional to 1,881.71, 2,822.94 and 1,296.99

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Solution

The fourth proportional to 1,881.71, 2,822.94 and 1,296.99 is: 1,945.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.71 : 2,822.94 = 1,296.99 : x
  2. Step 2: Convert to fraction form
    1,881.71/2,822.94 = 1,296.99/x
  3. Step 3: Cross multiply
    1,881.71x = 2,822.94 × 1,296.99
  4. Step 4: Simplify right side
    1,881.71x = 3,661,324.95
  5. Step 5: Solve for x
    x = 3,661,324.95/1,881.71
  6. Step 6: Final answer
    x = 1,945.74

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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.