Home / 2,102.16-3,149.40-1,370.16

Finding the Fourth Proportional to 2,102.16, 3,149.40 and 1,370.16

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Solution

The fourth proportional to 2,102.16, 3,149.40 and 1,370.16 is: 2,052.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.16 : 3,149.40 = 1,370.16 : x
  2. Step 2: Convert to fraction form
    2,102.16/3,149.40 = 1,370.16/x
  3. Step 3: Cross multiply
    2,102.16x = 3,149.40 × 1,370.16
  4. Step 4: Simplify right side
    2,102.16x = 4,315,181.90
  5. Step 5: Solve for x
    x = 4,315,181.90/2,102.16
  6. Step 6: Final answer
    x = 2,052.74

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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.