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Finding the Fourth Proportional to 25,775, 38,667.36 and 11,924

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Solution

The fourth proportional to 25,775, 38,667.36 and 11,924 is: 17,888.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,775 : 38,667.36 = 11,924 : x
  2. Step 2: Convert to fraction form
    25,775/38,667.36 = 11,924/x
  3. Step 3: Cross multiply
    25,775x = 38,667.36 × 11,924
  4. Step 4: Simplify right side
    25,775x = 461,069,600.64
  5. Step 5: Solve for x
    x = 461,069,600.64/25,775
  6. Step 6: Final answer
    x = 17,888.25

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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.