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Finding the Fourth Proportional to 27,854.94, 41,774.13 and 8,128.20

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Solution

The fourth proportional to 27,854.94, 41,774.13 and 8,128.20 is: 12,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,854.94 : 41,774.13 = 8,128.20 : x
  2. Step 2: Convert to fraction form
    27,854.94/41,774.13 = 8,128.20/x
  3. Step 3: Cross multiply
    27,854.94x = 41,774.13 × 8,128.20
  4. Step 4: Simplify right side
    27,854.94x = 339,548,483.47
  5. Step 5: Solve for x
    x = 339,548,483.47/27,854.94
  6. Step 6: Final answer
    x = 12,189.88

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1.5x scale

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.