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Finding the Fourth Proportional to 18,639.50, 25,722.51 and 10,256

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Solution

The fourth proportional to 18,639.50, 25,722.51 and 10,256 is: 14,153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,639.50 : 25,722.51 = 10,256 : x
  2. Step 2: Convert to fraction form
    18,639.50/25,722.51 = 10,256/x
  3. Step 3: Cross multiply
    18,639.50x = 25,722.51 × 10,256
  4. Step 4: Simplify right side
    18,639.50x = 263,810,062.56
  5. Step 5: Solve for x
    x = 263,810,062.56/18,639.50
  6. Step 6: Final answer
    x = 14,153.28

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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.