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Finding the Fourth Proportional to 10,546.70, 15,820.95 and 2,755.50

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Solution

The fourth proportional to 10,546.70, 15,820.95 and 2,755.50 is: 4,133.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.70 : 15,820.95 = 2,755.50 : x
  2. Step 2: Convert to fraction form
    10,546.70/15,820.95 = 2,755.50/x
  3. Step 3: Cross multiply
    10,546.70x = 15,820.95 × 2,755.50
  4. Step 4: Simplify right side
    10,546.70x = 43,594,627.73
  5. Step 5: Solve for x
    x = 43,594,627.73/10,546.70
  6. Step 6: Final answer
    x = 4,133.49

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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.