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Finding the Fourth Proportional to 25,706, 35,474.28 and 13,930

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Solution

The fourth proportional to 25,706, 35,474.28 and 13,930 is: 19,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,706 : 35,474.28 = 13,930 : x
  2. Step 2: Convert to fraction form
    25,706/35,474.28 = 13,930/x
  3. Step 3: Cross multiply
    25,706x = 35,474.28 × 13,930
  4. Step 4: Simplify right side
    25,706x = 494,156,720.40
  5. Step 5: Solve for x
    x = 494,156,720.40/25,706
  6. Step 6: Final answer
    x = 19,223.40

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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.