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Finding the Fourth Proportional to 21,141, 29,175.50 and 11,709.60

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Solution

The fourth proportional to 21,141, 29,175.50 and 11,709.60 is: 16,159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,141 : 29,175.50 = 11,709.60 : x
  2. Step 2: Convert to fraction form
    21,141/29,175.50 = 11,709.60/x
  3. Step 3: Cross multiply
    21,141x = 29,175.50 × 11,709.60
  4. Step 4: Simplify right side
    21,141x = 341,633,434.80
  5. Step 5: Solve for x
    x = 341,633,434.80/21,141
  6. Step 6: Final answer
    x = 16,159.76

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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.