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Finding the Fourth Proportional to 21,700, 29,946.18 and 11,764

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Solution

The fourth proportional to 21,700, 29,946.18 and 11,764 is: 16,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,700 : 29,946.18 = 11,764 : x
  2. Step 2: Convert to fraction form
    21,700/29,946.18 = 11,764/x
  3. Step 3: Cross multiply
    21,700x = 29,946.18 × 11,764
  4. Step 4: Simplify right side
    21,700x = 352,286,861.52
  5. Step 5: Solve for x
    x = 352,286,861.52/21,700
  6. Step 6: Final answer
    x = 16,234.42

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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.