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Finding the Fourth Proportional to 30,625, 45,954.78 and 14,209

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Solution

The fourth proportional to 30,625, 45,954.78 and 14,209 is: 21,321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,625 : 45,954.78 = 14,209 : x
  2. Step 2: Convert to fraction form
    30,625/45,954.78 = 14,209/x
  3. Step 3: Cross multiply
    30,625x = 45,954.78 × 14,209
  4. Step 4: Simplify right side
    30,625x = 652,971,469.02
  5. Step 5: Solve for x
    x = 652,971,469.02/30,625
  6. Step 6: Final answer
    x = 21,321.52

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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.