Home / 1,408.56-2,109.60-1,163.40

Finding the Fourth Proportional to 1,408.56, 2,109.60 and 1,163.40

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Solution

The fourth proportional to 1,408.56, 2,109.60 and 1,163.40 is: 1,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.56 : 2,109.60 = 1,163.40 : x
  2. Step 2: Convert to fraction form
    1,408.56/2,109.60 = 1,163.40/x
  3. Step 3: Cross multiply
    1,408.56x = 2,109.60 × 1,163.40
  4. Step 4: Simplify right side
    1,408.56x = 2,454,308.64
  5. Step 5: Solve for x
    x = 2,454,308.64/1,408.56
  6. Step 6: Final answer
    x = 1,742.42

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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.