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Finding the Fourth Proportional to 3,606.80, 5,410.80 and 1,142.30

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Solution

The fourth proportional to 3,606.80, 5,410.80 and 1,142.30 is: 1,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.80 : 5,410.80 = 1,142.30 : x
  2. Step 2: Convert to fraction form
    3,606.80/5,410.80 = 1,142.30/x
  3. Step 3: Cross multiply
    3,606.80x = 5,410.80 × 1,142.30
  4. Step 4: Simplify right side
    3,606.80x = 6,180,770.37
  5. Step 5: Solve for x
    x = 6,180,770.37/3,606.80
  6. Step 6: Final answer
    x = 1,713.65

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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.