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Finding the Fourth Proportional to 25,120, 34,667.22 and 13,942

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Solution

The fourth proportional to 25,120, 34,667.22 and 13,942 is: 19,240.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,120 : 34,667.22 = 13,942 : x
  2. Step 2: Convert to fraction form
    25,120/34,667.22 = 13,942/x
  3. Step 3: Cross multiply
    25,120x = 34,667.22 × 13,942
  4. Step 4: Simplify right side
    25,120x = 483,330,381.24
  5. Step 5: Solve for x
    x = 483,330,381.24/25,120
  6. Step 6: Final answer
    x = 19,240.86

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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.