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Finding the Fourth Proportional to 25,419, 35,078.22 and 15,483

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Solution

The fourth proportional to 25,419, 35,078.22 and 15,483 is: 21,366.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,419 : 35,078.22 = 15,483 : x
  2. Step 2: Convert to fraction form
    25,419/35,078.22 = 15,483/x
  3. Step 3: Cross multiply
    25,419x = 35,078.22 × 15,483
  4. Step 4: Simplify right side
    25,419x = 543,116,080.26
  5. Step 5: Solve for x
    x = 543,116,080.26/25,419
  6. Step 6: Final answer
    x = 21,366.54

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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.