Home / 1,422.08-1,964.22-1,028.48

Finding the Fourth Proportional to 1,422.08, 1,964.22 and 1,028.48

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Solution

The fourth proportional to 1,422.08, 1,964.22 and 1,028.48 is: 1,420.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.08 : 1,964.22 = 1,028.48 : x
  2. Step 2: Convert to fraction form
    1,422.08/1,964.22 = 1,028.48/x
  3. Step 3: Cross multiply
    1,422.08x = 1,964.22 × 1,028.48
  4. Step 4: Simplify right side
    1,422.08x = 2,020,160.99
  5. Step 5: Solve for x
    x = 2,020,160.99/1,422.08
  6. Step 6: Final answer
    x = 1,420.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.