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Finding the Fourth Proportional to 21,620, 29,835.64 and 11,684

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Solution

The fourth proportional to 21,620, 29,835.64 and 11,684 is: 16,123.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,620 : 29,835.64 = 11,684 : x
  2. Step 2: Convert to fraction form
    21,620/29,835.64 = 11,684/x
  3. Step 3: Cross multiply
    21,620x = 29,835.64 × 11,684
  4. Step 4: Simplify right side
    21,620x = 348,599,617.76
  5. Step 5: Solve for x
    x = 348,599,617.76/21,620
  6. Step 6: Final answer
    x = 16,123.94

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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.