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Finding the Fourth Proportional to 25,375, 35,017.50 and 14,197

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Solution

The fourth proportional to 25,375, 35,017.50 and 14,197 is: 19,591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,375 : 35,017.50 = 14,197 : x
  2. Step 2: Convert to fraction form
    25,375/35,017.50 = 14,197/x
  3. Step 3: Cross multiply
    25,375x = 35,017.50 × 14,197
  4. Step 4: Simplify right side
    25,375x = 497,143,447.50
  5. Step 5: Solve for x
    x = 497,143,447.50/25,375
  6. Step 6: Final answer
    x = 19,591.86

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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.