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Finding the Fourth Proportional to 25,300, 34,914.02 and 14,122

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Solution

The fourth proportional to 25,300, 34,914.02 and 14,122 is: 19,488.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,300 : 34,914.02 = 14,122 : x
  2. Step 2: Convert to fraction form
    25,300/34,914.02 = 14,122/x
  3. Step 3: Cross multiply
    25,300x = 34,914.02 × 14,122
  4. Step 4: Simplify right side
    25,300x = 493,055,790.44
  5. Step 5: Solve for x
    x = 493,055,790.44/25,300
  6. Step 6: Final answer
    x = 19,488.37

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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.