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Finding the Fourth Proportional to 18,633.56, 25,714.38 and 10,135.68

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Solution

The fourth proportional to 18,633.56, 25,714.38 and 10,135.68 is: 13,987.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,633.56 : 25,714.38 = 10,135.68 : x
  2. Step 2: Convert to fraction form
    18,633.56/25,714.38 = 10,135.68/x
  3. Step 3: Cross multiply
    18,633.56x = 25,714.38 × 10,135.68
  4. Step 4: Simplify right side
    18,633.56x = 260,632,727.08
  5. Step 5: Solve for x
    x = 260,632,727.08/18,633.56
  6. Step 6: Final answer
    x = 13,987.27

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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.