Home / 1,426-1,966.44-1,286.32

Finding the Fourth Proportional to 1,426, 1,966.44 and 1,286.32

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Solution

The fourth proportional to 1,426, 1,966.44 and 1,286.32 is: 1,773.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426 : 1,966.44 = 1,286.32 : x
  2. Step 2: Convert to fraction form
    1,426/1,966.44 = 1,286.32/x
  3. Step 3: Cross multiply
    1,426x = 1,966.44 × 1,286.32
  4. Step 4: Simplify right side
    1,426x = 2,529,471.10
  5. Step 5: Solve for x
    x = 2,529,471.10/1,426
  6. Step 6: Final answer
    x = 1,773.82

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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.