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Finding the Fourth Proportional to 21,774.70, 30,049.62 and 12,343.84

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Solution

The fourth proportional to 21,774.70, 30,049.62 and 12,343.84 is: 17,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774.70 : 30,049.62 = 12,343.84 : x
  2. Step 2: Convert to fraction form
    21,774.70/30,049.62 = 12,343.84/x
  3. Step 3: Cross multiply
    21,774.70x = 30,049.62 × 12,343.84
  4. Step 4: Simplify right side
    21,774.70x = 370,927,701.34
  5. Step 5: Solve for x
    x = 370,927,701.34/21,774.70
  6. Step 6: Final answer
    x = 17,034.80

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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.