Home / 5,824-8,735.12-1,927.92

Finding the Fourth Proportional to 5,824, 8,735.12 and 1,927.92

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Solution

The fourth proportional to 5,824, 8,735.12 and 1,927.92 is: 2,891.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824 : 8,735.12 = 1,927.92 : x
  2. Step 2: Convert to fraction form
    5,824/8,735.12 = 1,927.92/x
  3. Step 3: Cross multiply
    5,824x = 8,735.12 × 1,927.92
  4. Step 4: Simplify right side
    5,824x = 16,840,612.55
  5. Step 5: Solve for x
    x = 16,840,612.55/5,824
  6. Step 6: Final answer
    x = 2,891.59

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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.