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Finding the Fourth Proportional to 25,881.30, 38,822.09 and 10,309.86

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Solution

The fourth proportional to 25,881.30, 38,822.09 and 10,309.86 is: 15,464.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,881.30 : 38,822.09 = 10,309.86 : x
  2. Step 2: Convert to fraction form
    25,881.30/38,822.09 = 10,309.86/x
  3. Step 3: Cross multiply
    25,881.30x = 38,822.09 × 10,309.86
  4. Step 4: Simplify right side
    25,881.30x = 400,250,261.26
  5. Step 5: Solve for x
    x = 400,250,261.26/25,881.30
  6. Step 6: Final answer
    x = 15,464.84

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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.