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Finding the Fourth Proportional to 25,872, 38,808.36 and 7,404

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Solution

The fourth proportional to 25,872, 38,808.36 and 7,404 is: 11,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,872 : 38,808.36 = 7,404 : x
  2. Step 2: Convert to fraction form
    25,872/38,808.36 = 7,404/x
  3. Step 3: Cross multiply
    25,872x = 38,808.36 × 7,404
  4. Step 4: Simplify right side
    25,872x = 287,337,097.44
  5. Step 5: Solve for x
    x = 287,337,097.44/25,872
  6. Step 6: Final answer
    x = 11,106.10

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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.