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Finding the Fourth Proportional to 3,173.80, 4,378 and 2,336.72

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Solution

The fourth proportional to 3,173.80, 4,378 and 2,336.72 is: 3,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.80 : 4,378 = 2,336.72 : x
  2. Step 2: Convert to fraction form
    3,173.80/4,378 = 2,336.72/x
  3. Step 3: Cross multiply
    3,173.80x = 4,378 × 2,336.72
  4. Step 4: Simplify right side
    3,173.80x = 10,230,160.16
  5. Step 5: Solve for x
    x = 10,230,160.16/3,173.80
  6. Step 6: Final answer
    x = 3,223.32

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Double 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.