Home / 2,103.04-3,155.68-1,408

Finding the Fourth Proportional to 2,103.04, 3,155.68 and 1,408

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Solution

The fourth proportional to 2,103.04, 3,155.68 and 1,408 is: 2,112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.04 : 3,155.68 = 1,408 : x
  2. Step 2: Convert to fraction form
    2,103.04/3,155.68 = 1,408/x
  3. Step 3: Cross multiply
    2,103.04x = 3,155.68 × 1,408
  4. Step 4: Simplify right side
    2,103.04x = 4,443,197.44
  5. Step 5: Solve for x
    x = 4,443,197.44/2,103.04
  6. Step 6: Final answer
    x = 2,112.75

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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.