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Finding the Fourth Proportional to 18,900, 26,082 and 10,516.50

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Solution

The fourth proportional to 18,900, 26,082 and 10,516.50 is: 14,512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,900 : 26,082 = 10,516.50 : x
  2. Step 2: Convert to fraction form
    18,900/26,082 = 10,516.50/x
  3. Step 3: Cross multiply
    18,900x = 26,082 × 10,516.50
  4. Step 4: Simplify right side
    18,900x = 274,291,353
  5. Step 5: Solve for x
    x = 274,291,353/18,900
  6. Step 6: Final answer
    x = 14,512.77

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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.