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Finding the Fourth Proportional to 25,602.44, 38,379 and 13,128.32

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Solution

The fourth proportional to 25,602.44, 38,379 and 13,128.32 is: 19,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,602.44 : 38,379 = 13,128.32 : x
  2. Step 2: Convert to fraction form
    25,602.44/38,379 = 13,128.32/x
  3. Step 3: Cross multiply
    25,602.44x = 38,379 × 13,128.32
  4. Step 4: Simplify right side
    25,602.44x = 503,851,793.28
  5. Step 5: Solve for x
    x = 503,851,793.28/25,602.44
  6. Step 6: Final answer
    x = 19,679.83

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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.