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Finding the Fourth Proportional to 18,256, 25,193.28 and 9,872.50

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Solution

The fourth proportional to 18,256, 25,193.28 and 9,872.50 is: 13,624.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,256 : 25,193.28 = 9,872.50 : x
  2. Step 2: Convert to fraction form
    18,256/25,193.28 = 9,872.50/x
  3. Step 3: Cross multiply
    18,256x = 25,193.28 × 9,872.50
  4. Step 4: Simplify right side
    18,256x = 248,720,656.80
  5. Step 5: Solve for x
    x = 248,720,656.80/18,256
  6. Step 6: Final answer
    x = 13,624.05

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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.