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Finding the Fourth Proportional to 3,102.16, 4,279.54 and 1,982.54

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Solution

The fourth proportional to 3,102.16, 4,279.54 and 1,982.54 is: 2,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.16 : 4,279.54 = 1,982.54 : x
  2. Step 2: Convert to fraction form
    3,102.16/4,279.54 = 1,982.54/x
  3. Step 3: Cross multiply
    3,102.16x = 4,279.54 × 1,982.54
  4. Step 4: Simplify right side
    3,102.16x = 8,484,359.23
  5. Step 5: Solve for x
    x = 8,484,359.23/3,102.16
  6. Step 6: Final answer
    x = 2,734.98

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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.