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Finding the Fourth Proportional to 27,980.96, 38,617.42 and 16,042

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Solution

The fourth proportional to 27,980.96, 38,617.42 and 16,042 is: 22,140.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,980.96 : 38,617.42 = 16,042 : x
  2. Step 2: Convert to fraction form
    27,980.96/38,617.42 = 16,042/x
  3. Step 3: Cross multiply
    27,980.96x = 38,617.42 × 16,042
  4. Step 4: Simplify right side
    27,980.96x = 619,500,651.64
  5. Step 5: Solve for x
    x = 619,500,651.64/27,980.96
  6. Step 6: Final answer
    x = 22,140.08

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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.