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Finding the Fourth Proportional to 3,661.38, 5,036.76 and 3,211.22

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Solution

The fourth proportional to 3,661.38, 5,036.76 and 3,211.22 is: 4,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.38 : 5,036.76 = 3,211.22 : x
  2. Step 2: Convert to fraction form
    3,661.38/5,036.76 = 3,211.22/x
  3. Step 3: Cross multiply
    3,661.38x = 5,036.76 × 3,211.22
  4. Step 4: Simplify right side
    3,661.38x = 16,174,144.45
  5. Step 5: Solve for x
    x = 16,174,144.45/3,661.38
  6. Step 6: Final answer
    x = 4,417.50

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Half scale
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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.