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Finding the Fourth Proportional to 34,644.96, 47,811.12 and 19,740

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Solution

The fourth proportional to 34,644.96, 47,811.12 and 19,740 is: 27,241.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,644.96 : 47,811.12 = 19,740 : x
  2. Step 2: Convert to fraction form
    34,644.96/47,811.12 = 19,740/x
  3. Step 3: Cross multiply
    34,644.96x = 47,811.12 × 19,740
  4. Step 4: Simplify right side
    34,644.96x = 943,791,508.80
  5. Step 5: Solve for x
    x = 943,791,508.80/34,644.96
  6. Step 6: Final answer
    x = 27,241.81

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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.