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Finding the Fourth Proportional to 2,563.70, 3,847.80 and 1,522.40

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Solution

The fourth proportional to 2,563.70, 3,847.80 and 1,522.40 is: 2,284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.70 : 3,847.80 = 1,522.40 : x
  2. Step 2: Convert to fraction form
    2,563.70/3,847.80 = 1,522.40/x
  3. Step 3: Cross multiply
    2,563.70x = 3,847.80 × 1,522.40
  4. Step 4: Simplify right side
    2,563.70x = 5,857,890.72
  5. Step 5: Solve for x
    x = 5,857,890.72/2,563.70
  6. Step 6: Final answer
    x = 2,284.94

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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.