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Finding the Fourth Proportional to 19,711, 27,201.18 and 13,434.34

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Solution

The fourth proportional to 19,711, 27,201.18 and 13,434.34 is: 18,539.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,711 : 27,201.18 = 13,434.34 : x
  2. Step 2: Convert to fraction form
    19,711/27,201.18 = 13,434.34/x
  3. Step 3: Cross multiply
    19,711x = 27,201.18 × 13,434.34
  4. Step 4: Simplify right side
    19,711x = 365,429,900.52
  5. Step 5: Solve for x
    x = 365,429,900.52/19,711
  6. Step 6: Final answer
    x = 18,539.39

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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.