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Finding the Fourth Proportional to 27,621, 38,120.58 and 16,443

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Solution

The fourth proportional to 27,621, 38,120.58 and 16,443 is: 22,693.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,621 : 38,120.58 = 16,443 : x
  2. Step 2: Convert to fraction form
    27,621/38,120.58 = 16,443/x
  3. Step 3: Cross multiply
    27,621x = 38,120.58 × 16,443
  4. Step 4: Simplify right side
    27,621x = 626,816,696.94
  5. Step 5: Solve for x
    x = 626,816,696.94/27,621
  6. Step 6: Final answer
    x = 22,693.48

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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.