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Finding the Fourth Proportional to 19,876, 27,434.64 and 13,252

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Solution

The fourth proportional to 19,876, 27,434.64 and 13,252 is: 18,291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876 : 27,434.64 = 13,252 : x
  2. Step 2: Convert to fraction form
    19,876/27,434.64 = 13,252/x
  3. Step 3: Cross multiply
    19,876x = 27,434.64 × 13,252
  4. Step 4: Simplify right side
    19,876x = 363,563,849.28
  5. Step 5: Solve for x
    x = 363,563,849.28/19,876
  6. Step 6: Final answer
    x = 18,291.60

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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.