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Finding the Fourth Proportional to 21,193.84, 31,780.50 and 12,769.84

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Solution

The fourth proportional to 21,193.84, 31,780.50 and 12,769.84 is: 19,148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,193.84 : 31,780.50 = 12,769.84 : x
  2. Step 2: Convert to fraction form
    21,193.84/31,780.50 = 12,769.84/x
  3. Step 3: Cross multiply
    21,193.84x = 31,780.50 × 12,769.84
  4. Step 4: Simplify right side
    21,193.84x = 405,831,900.12
  5. Step 5: Solve for x
    x = 405,831,900.12/21,193.84
  6. Step 6: Final answer
    x = 19,148.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.