Home / 7,406.24-11,102.88-2,786

Finding the Fourth Proportional to 7,406.24, 11,102.88 and 2,786

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Solution

The fourth proportional to 7,406.24, 11,102.88 and 2,786 is: 4,176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.24 : 11,102.88 = 2,786 : x
  2. Step 2: Convert to fraction form
    7,406.24/11,102.88 = 2,786/x
  3. Step 3: Cross multiply
    7,406.24x = 11,102.88 × 2,786
  4. Step 4: Simplify right side
    7,406.24x = 30,932,623.68
  5. Step 5: Solve for x
    x = 30,932,623.68/7,406.24
  6. Step 6: Final answer
    x = 4,176.56

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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.