Home / 1,430.88-2,142-1,198.56

Finding the Fourth Proportional to 1,430.88, 2,142 and 1,198.56

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Solution

The fourth proportional to 1,430.88, 2,142 and 1,198.56 is: 1,794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.88 : 2,142 = 1,198.56 : x
  2. Step 2: Convert to fraction form
    1,430.88/2,142 = 1,198.56/x
  3. Step 3: Cross multiply
    1,430.88x = 2,142 × 1,198.56
  4. Step 4: Simplify right side
    1,430.88x = 2,567,315.52
  5. Step 5: Solve for x
    x = 2,567,315.52/1,430.88
  6. Step 6: Final answer
    x = 1,794.22

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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.