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Finding the Fourth Proportional to 18,709.44, 25,820.64 and 11,256

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Solution

The fourth proportional to 18,709.44, 25,820.64 and 11,256 is: 15,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,709.44 : 25,820.64 = 11,256 : x
  2. Step 2: Convert to fraction form
    18,709.44/25,820.64 = 11,256/x
  3. Step 3: Cross multiply
    18,709.44x = 25,820.64 × 11,256
  4. Step 4: Simplify right side
    18,709.44x = 290,637,123.84
  5. Step 5: Solve for x
    x = 290,637,123.84/18,709.44
  6. Step 6: Final answer
    x = 15,534.25

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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.