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Finding the Fourth Proportional to 6,314.60, 9,474.60 and 3,976.40

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Solution

The fourth proportional to 6,314.60, 9,474.60 and 3,976.40 is: 5,966.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.60 : 9,474.60 = 3,976.40 : x
  2. Step 2: Convert to fraction form
    6,314.60/9,474.60 = 3,976.40/x
  3. Step 3: Cross multiply
    6,314.60x = 9,474.60 × 3,976.40
  4. Step 4: Simplify right side
    6,314.60x = 37,674,799.44
  5. Step 5: Solve for x
    x = 37,674,799.44/6,314.60
  6. Step 6: Final answer
    x = 5,966.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.