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Finding the Fourth Proportional to 25,783.64, 38,669.14 and 8,249.84

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Solution

The fourth proportional to 25,783.64, 38,669.14 and 8,249.84 is: 12,372.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,783.64 : 38,669.14 = 8,249.84 : x
  2. Step 2: Convert to fraction form
    25,783.64/38,669.14 = 8,249.84/x
  3. Step 3: Cross multiply
    25,783.64x = 38,669.14 × 8,249.84
  4. Step 4: Simplify right side
    25,783.64x = 319,014,217.94
  5. Step 5: Solve for x
    x = 319,014,217.94/25,783.64
  6. Step 6: Final answer
    x = 12,372.74

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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.