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Finding the Fourth Proportional to 25,828, 38,747.76 and 9,412

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Solution

The fourth proportional to 25,828, 38,747.76 and 9,412 is: 14,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,828 : 38,747.76 = 9,412 : x
  2. Step 2: Convert to fraction form
    25,828/38,747.76 = 9,412/x
  3. Step 3: Cross multiply
    25,828x = 38,747.76 × 9,412
  4. Step 4: Simplify right side
    25,828x = 364,693,917.12
  5. Step 5: Solve for x
    x = 364,693,917.12/25,828
  6. Step 6: Final answer
    x = 14,120.10

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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.