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Finding the Fourth Proportional to 27,503.88, 41,257.41 and 7,780.78

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Solution

The fourth proportional to 27,503.88, 41,257.41 and 7,780.78 is: 11,671.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,503.88 : 41,257.41 = 7,780.78 : x
  2. Step 2: Convert to fraction form
    27,503.88/41,257.41 = 7,780.78/x
  3. Step 3: Cross multiply
    27,503.88x = 41,257.41 × 7,780.78
  4. Step 4: Simplify right side
    27,503.88x = 321,014,852.97
  5. Step 5: Solve for x
    x = 321,014,852.97/27,503.88
  6. Step 6: Final answer
    x = 11,671.62

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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.