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Finding the Fourth Proportional to 20,843.45, 28,763.94 and 11,412

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Solution

The fourth proportional to 20,843.45, 28,763.94 and 11,412 is: 15,748.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,843.45 : 28,763.94 = 11,412 : x
  2. Step 2: Convert to fraction form
    20,843.45/28,763.94 = 11,412/x
  3. Step 3: Cross multiply
    20,843.45x = 28,763.94 × 11,412
  4. Step 4: Simplify right side
    20,843.45x = 328,254,083.28
  5. Step 5: Solve for x
    x = 328,254,083.28/20,843.45
  6. Step 6: Final answer
    x = 15,748.55

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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.