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Finding the Fourth Proportional to 3,974.76, 5,485.32 and 2,978.28

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Solution

The fourth proportional to 3,974.76, 5,485.32 and 2,978.28 is: 4,110.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.76 : 5,485.32 = 2,978.28 : x
  2. Step 2: Convert to fraction form
    3,974.76/5,485.32 = 2,978.28/x
  3. Step 3: Cross multiply
    3,974.76x = 5,485.32 × 2,978.28
  4. Step 4: Simplify right side
    3,974.76x = 16,336,818.85
  5. Step 5: Solve for x
    x = 16,336,818.85/3,974.76
  6. Step 6: Final answer
    x = 4,110.14

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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.