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Finding the Fourth Proportional to 25,486, 35,172.24 and 14,308

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Solution

The fourth proportional to 25,486, 35,172.24 and 14,308 is: 19,745.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,486 : 35,172.24 = 14,308 : x
  2. Step 2: Convert to fraction form
    25,486/35,172.24 = 14,308/x
  3. Step 3: Cross multiply
    25,486x = 35,172.24 × 14,308
  4. Step 4: Simplify right side
    25,486x = 503,244,409.92
  5. Step 5: Solve for x
    x = 503,244,409.92/25,486
  6. Step 6: Final answer
    x = 19,745.92

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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.