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Finding the Fourth Proportional to 25,463, 35,139.48 and 14,285

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Solution

The fourth proportional to 25,463, 35,139.48 and 14,285 is: 19,713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,463 : 35,139.48 = 14,285 : x
  2. Step 2: Convert to fraction form
    25,463/35,139.48 = 14,285/x
  3. Step 3: Cross multiply
    25,463x = 35,139.48 × 14,285
  4. Step 4: Simplify right side
    25,463x = 501,967,471.80
  5. Step 5: Solve for x
    x = 501,967,471.80/25,463
  6. Step 6: Final answer
    x = 19,713.60

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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.