Home / 2,286.98-3,430.46-826.13

Finding the Fourth Proportional to 2,286.98, 3,430.46 and 826.13

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Solution

The fourth proportional to 2,286.98, 3,430.46 and 826.13 is: 1,239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.98 : 3,430.46 = 826.13 : x
  2. Step 2: Convert to fraction form
    2,286.98/3,430.46 = 826.13/x
  3. Step 3: Cross multiply
    2,286.98x = 3,430.46 × 826.13
  4. Step 4: Simplify right side
    2,286.98x = 2,833,988.77
  5. Step 5: Solve for x
    x = 2,833,988.77/2,286.98
  6. Step 6: Final answer
    x = 1,239.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.