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Finding the Fourth Proportional to 27,657.62, 41,480.84 and 7,930.88

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Solution

The fourth proportional to 27,657.62, 41,480.84 and 7,930.88 is: 11,894.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657.62 : 41,480.84 = 7,930.88 : x
  2. Step 2: Convert to fraction form
    27,657.62/41,480.84 = 7,930.88/x
  3. Step 3: Cross multiply
    27,657.62x = 41,480.84 × 7,930.88
  4. Step 4: Simplify right side
    27,657.62x = 328,979,564.34
  5. Step 5: Solve for x
    x = 328,979,564.34/27,657.62
  6. Step 6: Final answer
    x = 11,894.72

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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.