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Finding the Fourth Proportional to 27,543, 37,992 and 21,967.32

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Solution

The fourth proportional to 27,543, 37,992 and 21,967.32 is: 30,301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,543 : 37,992 = 21,967.32 : x
  2. Step 2: Convert to fraction form
    27,543/37,992 = 21,967.32/x
  3. Step 3: Cross multiply
    27,543x = 37,992 × 21,967.32
  4. Step 4: Simplify right side
    27,543x = 834,582,421.44
  5. Step 5: Solve for x
    x = 834,582,421.44/27,543
  6. Step 6: Final answer
    x = 30,301.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.