Home / 1,427.40-1,969.60-867.58

Finding the Fourth Proportional to 1,427.40, 1,969.60 and 867.58

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Solution

The fourth proportional to 1,427.40, 1,969.60 and 867.58 is: 1,197.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.40 : 1,969.60 = 867.58 : x
  2. Step 2: Convert to fraction form
    1,427.40/1,969.60 = 867.58/x
  3. Step 3: Cross multiply
    1,427.40x = 1,969.60 × 867.58
  4. Step 4: Simplify right side
    1,427.40x = 1,708,785.57
  5. Step 5: Solve for x
    x = 1,708,785.57/1,427.40
  6. Step 6: Final answer
    x = 1,197.13

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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.