Home / 13,834-19,090.92-7,546.40

Finding the Fourth Proportional to 13,834, 19,090.92 and 7,546.40

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Solution

The fourth proportional to 13,834, 19,090.92 and 7,546.40 is: 10,414.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,834 : 19,090.92 = 7,546.40 : x
  2. Step 2: Convert to fraction form
    13,834/19,090.92 = 7,546.40/x
  3. Step 3: Cross multiply
    13,834x = 19,090.92 × 7,546.40
  4. Step 4: Simplify right side
    13,834x = 144,067,718.69
  5. Step 5: Solve for x
    x = 144,067,718.69/13,834
  6. Step 6: Final answer
    x = 10,414.03

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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.