Home / 2,134-2,945.48-1,427.16

Finding the Fourth Proportional to 2,134, 2,945.48 and 1,427.16

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Solution

The fourth proportional to 2,134, 2,945.48 and 1,427.16 is: 1,969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134 : 2,945.48 = 1,427.16 : x
  2. Step 2: Convert to fraction form
    2,134/2,945.48 = 1,427.16/x
  3. Step 3: Cross multiply
    2,134x = 2,945.48 × 1,427.16
  4. Step 4: Simplify right side
    2,134x = 4,203,671.24
  5. Step 5: Solve for x
    x = 4,203,671.24/2,134
  6. Step 6: Final answer
    x = 1,969.86

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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.