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Finding the Fourth Proportional to 26,790, 40,187.16 and 8,322

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Solution

The fourth proportional to 26,790, 40,187.16 and 8,322 is: 12,483.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,790 : 40,187.16 = 8,322 : x
  2. Step 2: Convert to fraction form
    26,790/40,187.16 = 8,322/x
  3. Step 3: Cross multiply
    26,790x = 40,187.16 × 8,322
  4. Step 4: Simplify right side
    26,790x = 334,437,545.52
  5. Step 5: Solve for x
    x = 334,437,545.52/26,790
  6. Step 6: Final answer
    x = 12,483.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.