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Finding the Fourth Proportional to 6,980.80, 10,471.20 and 3,084.32

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Solution

The fourth proportional to 6,980.80, 10,471.20 and 3,084.32 is: 4,626.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.80 : 10,471.20 = 3,084.32 : x
  2. Step 2: Convert to fraction form
    6,980.80/10,471.20 = 3,084.32/x
  3. Step 3: Cross multiply
    6,980.80x = 10,471.20 × 3,084.32
  4. Step 4: Simplify right side
    6,980.80x = 32,296,531.58
  5. Step 5: Solve for x
    x = 32,296,531.58/6,980.80
  6. Step 6: Final answer
    x = 4,626.48

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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.