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Finding the Fourth Proportional to 3,138.41, 4,703.78 and 1,162.41

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Solution

The fourth proportional to 3,138.41, 4,703.78 and 1,162.41 is: 1,742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.41 : 4,703.78 = 1,162.41 : x
  2. Step 2: Convert to fraction form
    3,138.41/4,703.78 = 1,162.41/x
  3. Step 3: Cross multiply
    3,138.41x = 4,703.78 × 1,162.41
  4. Step 4: Simplify right side
    3,138.41x = 5,467,715.10
  5. Step 5: Solve for x
    x = 5,467,715.10/3,138.41
  6. Step 6: Final answer
    x = 1,742.20

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1.5x scale

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.