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Finding the Fourth Proportional to 10,686, 16,029.04 and 2,894.82

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Solution

The fourth proportional to 10,686, 16,029.04 and 2,894.82 is: 4,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686 : 16,029.04 = 2,894.82 : x
  2. Step 2: Convert to fraction form
    10,686/16,029.04 = 2,894.82/x
  3. Step 3: Cross multiply
    10,686x = 16,029.04 × 2,894.82
  4. Step 4: Simplify right side
    10,686x = 46,401,185.57
  5. Step 5: Solve for x
    x = 46,401,185.57/10,686
  6. Step 6: Final answer
    x = 4,342.24

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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.