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Finding the Fourth Proportional to 25,625, 35,362.56 and 14,447

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Solution

The fourth proportional to 25,625, 35,362.56 and 14,447 is: 19,936.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,625 : 35,362.56 = 14,447 : x
  2. Step 2: Convert to fraction form
    25,625/35,362.56 = 14,447/x
  3. Step 3: Cross multiply
    25,625x = 35,362.56 × 14,447
  4. Step 4: Simplify right side
    25,625x = 510,882,904.32
  5. Step 5: Solve for x
    x = 510,882,904.32/25,625
  6. Step 6: Final answer
    x = 19,936.89

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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.