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Finding the Fourth Proportional to 27,924, 41,886 and 7,147.50

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Solution

The fourth proportional to 27,924, 41,886 and 7,147.50 is: 10,721.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,924 : 41,886 = 7,147.50 : x
  2. Step 2: Convert to fraction form
    27,924/41,886 = 7,147.50/x
  3. Step 3: Cross multiply
    27,924x = 41,886 × 7,147.50
  4. Step 4: Simplify right side
    27,924x = 299,380,185
  5. Step 5: Solve for x
    x = 299,380,185/27,924
  6. Step 6: Final answer
    x = 10,721.25

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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.