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Finding the Fourth Proportional to 25,170.50, 34,735.41 and 13,992.50

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Solution

The fourth proportional to 25,170.50, 34,735.41 and 13,992.50 is: 19,309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,170.50 : 34,735.41 = 13,992.50 : x
  2. Step 2: Convert to fraction form
    25,170.50/34,735.41 = 13,992.50/x
  3. Step 3: Cross multiply
    25,170.50x = 34,735.41 × 13,992.50
  4. Step 4: Simplify right side
    25,170.50x = 486,035,224.43
  5. Step 5: Solve for x
    x = 486,035,224.43/25,170.50
  6. Step 6: Final answer
    x = 19,309.72

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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.