Home / 2,142.24-3,207.56-2,019.38

Finding the Fourth Proportional to 2,142.24, 3,207.56 and 2,019.38

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Solution

The fourth proportional to 2,142.24, 3,207.56 and 2,019.38 is: 3,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.24 : 3,207.56 = 2,019.38 : x
  2. Step 2: Convert to fraction form
    2,142.24/3,207.56 = 2,019.38/x
  3. Step 3: Cross multiply
    2,142.24x = 3,207.56 × 2,019.38
  4. Step 4: Simplify right side
    2,142.24x = 6,477,282.51
  5. Step 5: Solve for x
    x = 6,477,282.51/2,142.24
  6. Step 6: Final answer
    x = 3,023.60

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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.