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Finding the Fourth Proportional to 25,893.78, 38,808.86 and 13,406.69

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Solution

The fourth proportional to 25,893.78, 38,808.86 and 13,406.69 is: 20,093.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,893.78 : 38,808.86 = 13,406.69 : x
  2. Step 2: Convert to fraction form
    25,893.78/38,808.86 = 13,406.69/x
  3. Step 3: Cross multiply
    25,893.78x = 38,808.86 × 13,406.69
  4. Step 4: Simplify right side
    25,893.78x = 520,298,094.20
  5. Step 5: Solve for x
    x = 520,298,094.20/25,893.78
  6. Step 6: Final answer
    x = 20,093.56

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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.