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Finding the Fourth Proportional to 21,879.64, 32,792.10 and 9,384.94

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Solution

The fourth proportional to 21,879.64, 32,792.10 and 9,384.94 is: 14,065.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,879.64 : 32,792.10 = 9,384.94 : x
  2. Step 2: Convert to fraction form
    21,879.64/32,792.10 = 9,384.94/x
  3. Step 3: Cross multiply
    21,879.64x = 32,792.10 × 9,384.94
  4. Step 4: Simplify right side
    21,879.64x = 307,751,890.97
  5. Step 5: Solve for x
    x = 307,751,890.97/21,879.64
  6. Step 6: Final answer
    x = 14,065.67

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Why These Related Problems?

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