Home / 5,106.23-7,659.60-1,408.38

Finding the Fourth Proportional to 5,106.23, 7,659.60 and 1,408.38

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Solution

The fourth proportional to 5,106.23, 7,659.60 and 1,408.38 is: 2,112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.23 : 7,659.60 = 1,408.38 : x
  2. Step 2: Convert to fraction form
    5,106.23/7,659.60 = 1,408.38/x
  3. Step 3: Cross multiply
    5,106.23x = 7,659.60 × 1,408.38
  4. Step 4: Simplify right side
    5,106.23x = 10,787,582.11
  5. Step 5: Solve for x
    x = 10,787,582.11/5,106.23
  6. Step 6: Final answer
    x = 2,112.63

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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.