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Finding the Fourth Proportional to 3,857.52, 5,782.80 and 3,276.24

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Solution

The fourth proportional to 3,857.52, 5,782.80 and 3,276.24 is: 4,911.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.52 : 5,782.80 = 3,276.24 : x
  2. Step 2: Convert to fraction form
    3,857.52/5,782.80 = 3,276.24/x
  3. Step 3: Cross multiply
    3,857.52x = 5,782.80 × 3,276.24
  4. Step 4: Simplify right side
    3,857.52x = 18,945,840.67
  5. Step 5: Solve for x
    x = 18,945,840.67/3,857.52
  6. Step 6: Final answer
    x = 4,911.40

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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.