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Finding the Fourth Proportional to 6,986, 10,479.64 and 1,791.92

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Solution

The fourth proportional to 6,986, 10,479.64 and 1,791.92 is: 2,688.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986 : 10,479.64 = 1,791.92 : x
  2. Step 2: Convert to fraction form
    6,986/10,479.64 = 1,791.92/x
  3. Step 3: Cross multiply
    6,986x = 10,479.64 × 1,791.92
  4. Step 4: Simplify right side
    6,986x = 18,778,676.51
  5. Step 5: Solve for x
    x = 18,778,676.51/6,986
  6. Step 6: Final answer
    x = 2,688.04

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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.