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Finding the Fourth Proportional to 19,877, 27,436.02 and 13,253

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Solution

The fourth proportional to 19,877, 27,436.02 and 13,253 is: 18,292.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877 : 27,436.02 = 13,253 : x
  2. Step 2: Convert to fraction form
    19,877/27,436.02 = 13,253/x
  3. Step 3: Cross multiply
    19,877x = 27,436.02 × 13,253
  4. Step 4: Simplify right side
    19,877x = 363,609,573.06
  5. Step 5: Solve for x
    x = 363,609,573.06/19,877
  6. Step 6: Final answer
    x = 18,292.98

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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.