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Finding the Fourth Proportional to 18,914.50, 26,102.82 and 10,531

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Solution

The fourth proportional to 18,914.50, 26,102.82 and 10,531 is: 14,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,914.50 : 26,102.82 = 10,531 : x
  2. Step 2: Convert to fraction form
    18,914.50/26,102.82 = 10,531/x
  3. Step 3: Cross multiply
    18,914.50x = 26,102.82 × 10,531
  4. Step 4: Simplify right side
    18,914.50x = 274,888,797.42
  5. Step 5: Solve for x
    x = 274,888,797.42/18,914.50
  6. Step 6: Final answer
    x = 14,533.23

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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.