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Finding the Fourth Proportional to 25,921, 38,887.26 and 9,505

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Solution

The fourth proportional to 25,921, 38,887.26 and 9,505 is: 14,259.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,921 : 38,887.26 = 9,505 : x
  2. Step 2: Convert to fraction form
    25,921/38,887.26 = 9,505/x
  3. Step 3: Cross multiply
    25,921x = 38,887.26 × 9,505
  4. Step 4: Simplify right side
    25,921x = 369,623,406.30
  5. Step 5: Solve for x
    x = 369,623,406.30/25,921
  6. Step 6: Final answer
    x = 14,259.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.