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Finding the Fourth Proportional to 21,356, 29,471.29 and 11,924.56

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Solution

The fourth proportional to 21,356, 29,471.29 and 11,924.56 is: 16,455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,356 : 29,471.29 = 11,924.56 : x
  2. Step 2: Convert to fraction form
    21,356/29,471.29 = 11,924.56/x
  3. Step 3: Cross multiply
    21,356x = 29,471.29 × 11,924.56
  4. Step 4: Simplify right side
    21,356x = 351,432,165.88
  5. Step 5: Solve for x
    x = 351,432,165.88/21,356
  6. Step 6: Final answer
    x = 16,455.90

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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.