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Finding the Fourth Proportional to 21,122.37, 29,148.93 and 11,691

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Solution

The fourth proportional to 21,122.37, 29,148.93 and 11,691 is: 16,133.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,122.37 : 29,148.93 = 11,691 : x
  2. Step 2: Convert to fraction form
    21,122.37/29,148.93 = 11,691/x
  3. Step 3: Cross multiply
    21,122.37x = 29,148.93 × 11,691
  4. Step 4: Simplify right side
    21,122.37x = 340,780,140.63
  5. Step 5: Solve for x
    x = 340,780,140.63/21,122.37
  6. Step 6: Final answer
    x = 16,133.61

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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.