Home / 2,113.78-3,170.66-1,409.50

Finding the Fourth Proportional to 2,113.78, 3,170.66 and 1,409.50

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Solution

The fourth proportional to 2,113.78, 3,170.66 and 1,409.50 is: 2,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.78 : 3,170.66 = 1,409.50 : x
  2. Step 2: Convert to fraction form
    2,113.78/3,170.66 = 1,409.50/x
  3. Step 3: Cross multiply
    2,113.78x = 3,170.66 × 1,409.50
  4. Step 4: Simplify right side
    2,113.78x = 4,469,045.27
  5. Step 5: Solve for x
    x = 4,469,045.27/2,113.78
  6. Step 6: Final answer
    x = 2,114.24

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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.