Home / 2,100.16-3,149.55-713.14

Finding the Fourth Proportional to 2,100.16, 3,149.55 and 713.14

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Solution

The fourth proportional to 2,100.16, 3,149.55 and 713.14 is: 1,069.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.16 : 3,149.55 = 713.14 : x
  2. Step 2: Convert to fraction form
    2,100.16/3,149.55 = 713.14/x
  3. Step 3: Cross multiply
    2,100.16x = 3,149.55 × 713.14
  4. Step 4: Simplify right side
    2,100.16x = 2,246,070.09
  5. Step 5: Solve for x
    x = 2,246,070.09/2,100.16
  6. Step 6: Final answer
    x = 1,069.48

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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.