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Finding the Fourth Proportional to 21,290.92, 29,381.70 and 11,860

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Solution

The fourth proportional to 21,290.92, 29,381.70 and 11,860 is: 16,366.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,290.92 : 29,381.70 = 11,860 : x
  2. Step 2: Convert to fraction form
    21,290.92/29,381.70 = 11,860/x
  3. Step 3: Cross multiply
    21,290.92x = 29,381.70 × 11,860
  4. Step 4: Simplify right side
    21,290.92x = 348,466,962
  5. Step 5: Solve for x
    x = 348,466,962/21,290.92
  6. Step 6: Final answer
    x = 16,366.93

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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.