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Finding the Fourth Proportional to 25,299, 34,912.64 and 14,121

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Solution

The fourth proportional to 25,299, 34,912.64 and 14,121 is: 19,486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,299 : 34,912.64 = 14,121 : x
  2. Step 2: Convert to fraction form
    25,299/34,912.64 = 14,121/x
  3. Step 3: Cross multiply
    25,299x = 34,912.64 × 14,121
  4. Step 4: Simplify right side
    25,299x = 493,001,389.44
  5. Step 5: Solve for x
    x = 493,001,389.44/25,299
  6. Step 6: Final answer
    x = 19,486.99

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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.