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Finding the Fourth Proportional to 20,336, 28,063.68 and 11,383.50

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Solution

The fourth proportional to 20,336, 28,063.68 and 11,383.50 is: 15,709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,336 : 28,063.68 = 11,383.50 : x
  2. Step 2: Convert to fraction form
    20,336/28,063.68 = 11,383.50/x
  3. Step 3: Cross multiply
    20,336x = 28,063.68 × 11,383.50
  4. Step 4: Simplify right side
    20,336x = 319,462,901.28
  5. Step 5: Solve for x
    x = 319,462,901.28/20,336
  6. Step 6: Final answer
    x = 15,709.23

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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.