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Finding the Fourth Proportional to 18,902.56, 26,085.54 and 10,519

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Solution

The fourth proportional to 18,902.56, 26,085.54 and 10,519 is: 14,516.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,902.56 : 26,085.54 = 10,519 : x
  2. Step 2: Convert to fraction form
    18,902.56/26,085.54 = 10,519/x
  3. Step 3: Cross multiply
    18,902.56x = 26,085.54 × 10,519
  4. Step 4: Simplify right side
    18,902.56x = 274,393,795.26
  5. Step 5: Solve for x
    x = 274,393,795.26/18,902.56
  6. Step 6: Final answer
    x = 14,516.22

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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.