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Finding the Fourth Proportional to 25,456, 35,129.30 and 14,278

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Solution

The fourth proportional to 25,456, 35,129.30 and 14,278 is: 19,703.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,456 : 35,129.30 = 14,278 : x
  2. Step 2: Convert to fraction form
    25,456/35,129.30 = 14,278/x
  3. Step 3: Cross multiply
    25,456x = 35,129.30 × 14,278
  4. Step 4: Simplify right side
    25,456x = 501,576,145.40
  5. Step 5: Solve for x
    x = 501,576,145.40/25,456
  6. Step 6: Final answer
    x = 19,703.65

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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.