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Finding the Fourth Proportional to 1,910.80, 2,638 and 1,314.19

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Solution

The fourth proportional to 1,910.80, 2,638 and 1,314.19 is: 1,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.80 : 2,638 = 1,314.19 : x
  2. Step 2: Convert to fraction form
    1,910.80/2,638 = 1,314.19/x
  3. Step 3: Cross multiply
    1,910.80x = 2,638 × 1,314.19
  4. Step 4: Simplify right side
    1,910.80x = 3,466,833.22
  5. Step 5: Solve for x
    x = 3,466,833.22/1,910.80
  6. Step 6: Final answer
    x = 1,814.34

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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.