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Finding the Fourth Proportional to 27,643.40, 41,376.90 and 21,811.40

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Solution

The fourth proportional to 27,643.40, 41,376.90 and 21,811.40 is: 32,647.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,643.40 : 41,376.90 = 21,811.40 : x
  2. Step 2: Convert to fraction form
    27,643.40/41,376.90 = 21,811.40/x
  3. Step 3: Cross multiply
    27,643.40x = 41,376.90 × 21,811.40
  4. Step 4: Simplify right side
    27,643.40x = 902,488,116.66
  5. Step 5: Solve for x
    x = 902,488,116.66/27,643.40
  6. Step 6: Final answer
    x = 32,647.51

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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.