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Finding the Fourth Proportional to 3,661.38, 5,055 and 2,820.50

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Solution

The fourth proportional to 3,661.38, 5,055 and 2,820.50 is: 3,894.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.38 : 5,055 = 2,820.50 : x
  2. Step 2: Convert to fraction form
    3,661.38/5,055 = 2,820.50/x
  3. Step 3: Cross multiply
    3,661.38x = 5,055 × 2,820.50
  4. Step 4: Simplify right side
    3,661.38x = 14,257,602.23
  5. Step 5: Solve for x
    x = 14,257,602.23/3,661.38
  6. Step 6: Final answer
    x = 3,894.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.