Home / 7,884-11,826.07-2,040.26

Finding the Fourth Proportional to 7,884, 11,826.07 and 2,040.26

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Solution

The fourth proportional to 7,884, 11,826.07 and 2,040.26 is: 3,060.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884 : 11,826.07 = 2,040.26 : x
  2. Step 2: Convert to fraction form
    7,884/11,826.07 = 2,040.26/x
  3. Step 3: Cross multiply
    7,884x = 11,826.07 × 2,040.26
  4. Step 4: Simplify right side
    7,884x = 24,128,193.35
  5. Step 5: Solve for x
    x = 24,128,193.35/7,884
  6. Step 6: Final answer
    x = 3,060.40

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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.