Home / 5,670-7,823.69-3,279.94

Finding the Fourth Proportional to 5,670, 7,823.69 and 3,279.94

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Solution

The fourth proportional to 5,670, 7,823.69 and 3,279.94 is: 4,525.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670 : 7,823.69 = 3,279.94 : x
  2. Step 2: Convert to fraction form
    5,670/7,823.69 = 3,279.94/x
  3. Step 3: Cross multiply
    5,670x = 7,823.69 × 3,279.94
  4. Step 4: Simplify right side
    5,670x = 25,661,254.13
  5. Step 5: Solve for x
    x = 25,661,254.13/5,670
  6. Step 6: Final answer
    x = 4,525.79

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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.