Home / 1,422.74-1,961.70-1,003.16

Finding the Fourth Proportional to 1,422.74, 1,961.70 and 1,003.16

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Solution

The fourth proportional to 1,422.74, 1,961.70 and 1,003.16 is: 1,383.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.74 : 1,961.70 = 1,003.16 : x
  2. Step 2: Convert to fraction form
    1,422.74/1,961.70 = 1,003.16/x
  3. Step 3: Cross multiply
    1,422.74x = 1,961.70 × 1,003.16
  4. Step 4: Simplify right side
    1,422.74x = 1,967,898.97
  5. Step 5: Solve for x
    x = 1,967,898.97/1,422.74
  6. Step 6: Final answer
    x = 1,383.18

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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.