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Finding the Fourth Proportional to 16,234, 22,402.94 and 8,782

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Solution

The fourth proportional to 16,234, 22,402.94 and 8,782 is: 12,119.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234 : 22,402.94 = 8,782 : x
  2. Step 2: Convert to fraction form
    16,234/22,402.94 = 8,782/x
  3. Step 3: Cross multiply
    16,234x = 22,402.94 × 8,782
  4. Step 4: Simplify right side
    16,234x = 196,742,619.08
  5. Step 5: Solve for x
    x = 196,742,619.08/16,234
  6. Step 6: Final answer
    x = 12,119.17

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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.