Home / 1,428.80-1,969.44-1,117.76

Finding the Fourth Proportional to 1,428.80, 1,969.44 and 1,117.76

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Solution

The fourth proportional to 1,428.80, 1,969.44 and 1,117.76 is: 1,540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.80 : 1,969.44 = 1,117.76 : x
  2. Step 2: Convert to fraction form
    1,428.80/1,969.44 = 1,117.76/x
  3. Step 3: Cross multiply
    1,428.80x = 1,969.44 × 1,117.76
  4. Step 4: Simplify right side
    1,428.80x = 2,201,361.25
  5. Step 5: Solve for x
    x = 2,201,361.25/1,428.80
  6. Step 6: Final answer
    x = 1,540.71

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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.