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Finding the Fourth Proportional to 6,374.40, 9,568.80 and 3,778.80

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Solution

The fourth proportional to 6,374.40, 9,568.80 and 3,778.80 is: 5,672.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.40 : 9,568.80 = 3,778.80 : x
  2. Step 2: Convert to fraction form
    6,374.40/9,568.80 = 3,778.80/x
  3. Step 3: Cross multiply
    6,374.40x = 9,568.80 × 3,778.80
  4. Step 4: Simplify right side
    6,374.40x = 36,158,581.44
  5. Step 5: Solve for x
    x = 36,158,581.44/6,374.40
  6. Step 6: Final answer
    x = 5,672.47

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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.