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Finding the Fourth Proportional to 3,846.60, 5,767.20 and 1,505.70

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Solution

The fourth proportional to 3,846.60, 5,767.20 and 1,505.70 is: 2,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.60 : 5,767.20 = 1,505.70 : x
  2. Step 2: Convert to fraction form
    3,846.60/5,767.20 = 1,505.70/x
  3. Step 3: Cross multiply
    3,846.60x = 5,767.20 × 1,505.70
  4. Step 4: Simplify right side
    3,846.60x = 8,683,673.04
  5. Step 5: Solve for x
    x = 8,683,673.04/3,846.60
  6. Step 6: Final answer
    x = 2,257.49

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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.