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Finding the Fourth Proportional to 27,784.80, 41,720.40 and 16,120.80

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Solution

The fourth proportional to 27,784.80, 41,720.40 and 16,120.80 is: 24,206.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,784.80 : 41,720.40 = 16,120.80 : x
  2. Step 2: Convert to fraction form
    27,784.80/41,720.40 = 16,120.80/x
  3. Step 3: Cross multiply
    27,784.80x = 41,720.40 × 16,120.80
  4. Step 4: Simplify right side
    27,784.80x = 672,566,224.32
  5. Step 5: Solve for x
    x = 672,566,224.32/27,784.80
  6. Step 6: Final answer
    x = 24,206.26

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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.