Home / 7,829.24-11,743.70-1,906.16

Finding the Fourth Proportional to 7,829.24, 11,743.70 and 1,906.16

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Solution

The fourth proportional to 7,829.24, 11,743.70 and 1,906.16 is: 2,859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.24 : 11,743.70 = 1,906.16 : x
  2. Step 2: Convert to fraction form
    7,829.24/11,743.70 = 1,906.16/x
  3. Step 3: Cross multiply
    7,829.24x = 11,743.70 × 1,906.16
  4. Step 4: Simplify right side
    7,829.24x = 22,385,302.94
  5. Step 5: Solve for x
    x = 22,385,302.94/7,829.24
  6. Step 6: Final answer
    x = 2,859.19

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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.