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Finding the Fourth Proportional to 25,900.75, 35,752.71 and 15,149.08

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Solution

The fourth proportional to 25,900.75, 35,752.71 and 15,149.08 is: 20,911.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,900.75 : 35,752.71 = 15,149.08 : x
  2. Step 2: Convert to fraction form
    25,900.75/35,752.71 = 15,149.08/x
  3. Step 3: Cross multiply
    25,900.75x = 35,752.71 × 15,149.08
  4. Step 4: Simplify right side
    25,900.75x = 541,620,664.01
  5. Step 5: Solve for x
    x = 541,620,664.01/25,900.75
  6. Step 6: Final answer
    x = 20,911.39

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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.