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Finding the Fourth Proportional to 21,126, 29,155.91 and 11,694.57

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Solution

The fourth proportional to 21,126, 29,155.91 and 11,694.57 is: 16,139.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,126 : 29,155.91 = 11,694.57 : x
  2. Step 2: Convert to fraction form
    21,126/29,155.91 = 11,694.57/x
  3. Step 3: Cross multiply
    21,126x = 29,155.91 × 11,694.57
  4. Step 4: Simplify right side
    21,126x = 340,965,830.41
  5. Step 5: Solve for x
    x = 340,965,830.41/21,126
  6. Step 6: Final answer
    x = 16,139.63

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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.