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Finding the Fourth Proportional to 12,546.59, 18,820.61 and 3,780.59

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Solution

The fourth proportional to 12,546.59, 18,820.61 and 3,780.59 is: 5,671.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.59 : 18,820.61 = 3,780.59 : x
  2. Step 2: Convert to fraction form
    12,546.59/18,820.61 = 3,780.59/x
  3. Step 3: Cross multiply
    12,546.59x = 18,820.61 × 3,780.59
  4. Step 4: Simplify right side
    12,546.59x = 71,152,991.06
  5. Step 5: Solve for x
    x = 71,152,991.06/12,546.59
  6. Step 6: Final answer
    x = 5,671.10

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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.