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Finding the Fourth Proportional to 25,600, 35,328 and 14,422

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Solution

The fourth proportional to 25,600, 35,328 and 14,422 is: 19,902.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600 : 35,328 = 14,422 : x
  2. Step 2: Convert to fraction form
    25,600/35,328 = 14,422/x
  3. Step 3: Cross multiply
    25,600x = 35,328 × 14,422
  4. Step 4: Simplify right side
    25,600x = 509,500,416
  5. Step 5: Solve for x
    x = 509,500,416/25,600
  6. Step 6: Final answer
    x = 19,902.36

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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.