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Finding the Fourth Proportional to 3,232.80, 4,852.80 and 1,771.20

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Solution

The fourth proportional to 3,232.80, 4,852.80 and 1,771.20 is: 2,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.80 : 4,852.80 = 1,771.20 : x
  2. Step 2: Convert to fraction form
    3,232.80/4,852.80 = 1,771.20/x
  3. Step 3: Cross multiply
    3,232.80x = 4,852.80 × 1,771.20
  4. Step 4: Simplify right side
    3,232.80x = 8,595,279.36
  5. Step 5: Solve for x
    x = 8,595,279.36/3,232.80
  6. Step 6: Final answer
    x = 2,658.77

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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.