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Finding the Fourth Proportional to 1,916.09, 2,644.09 and 1,076.82

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Solution

The fourth proportional to 1,916.09, 2,644.09 and 1,076.82 is: 1,485.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.09 : 2,644.09 = 1,076.82 : x
  2. Step 2: Convert to fraction form
    1,916.09/2,644.09 = 1,076.82/x
  3. Step 3: Cross multiply
    1,916.09x = 2,644.09 × 1,076.82
  4. Step 4: Simplify right side
    1,916.09x = 2,847,206.30
  5. Step 5: Solve for x
    x = 2,847,206.30/1,916.09
  6. Step 6: Final answer
    x = 1,485.95

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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.