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Finding the Fourth Proportional to 27,854.79, 41,778.08 and 8,128.05

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Solution

The fourth proportional to 27,854.79, 41,778.08 and 8,128.05 is: 12,190.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,854.79 : 41,778.08 = 8,128.05 : x
  2. Step 2: Convert to fraction form
    27,854.79/41,778.08 = 8,128.05/x
  3. Step 3: Cross multiply
    27,854.79x = 41,778.08 × 8,128.05
  4. Step 4: Simplify right side
    27,854.79x = 339,574,282.50
  5. Step 5: Solve for x
    x = 339,574,282.50/27,854.79
  6. Step 6: Final answer
    x = 12,190.88

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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.