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Finding the Fourth Proportional to 21,069.84, 31,604.40 and 7,743.84

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Solution

The fourth proportional to 21,069.84, 31,604.40 and 7,743.84 is: 11,615.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,069.84 : 31,604.40 = 7,743.84 : x
  2. Step 2: Convert to fraction form
    21,069.84/31,604.40 = 7,743.84/x
  3. Step 3: Cross multiply
    21,069.84x = 31,604.40 × 7,743.84
  4. Step 4: Simplify right side
    21,069.84x = 244,739,416.90
  5. Step 5: Solve for x
    x = 244,739,416.90/21,069.84
  6. Step 6: Final answer
    x = 11,615.63

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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.