Home / 1,850-2,764.40-1,408.80

Finding the Fourth Proportional to 1,850, 2,764.40 and 1,408.80

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Solution

The fourth proportional to 1,850, 2,764.40 and 1,408.80 is: 2,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850 : 2,764.40 = 1,408.80 : x
  2. Step 2: Convert to fraction form
    1,850/2,764.40 = 1,408.80/x
  3. Step 3: Cross multiply
    1,850x = 2,764.40 × 1,408.80
  4. Step 4: Simplify right side
    1,850x = 3,894,486.72
  5. Step 5: Solve for x
    x = 3,894,486.72/1,850
  6. Step 6: Final answer
    x = 2,105.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.