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Finding the Fourth Proportional to 3,600.30, 5,400.72 and 967.80

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Solution

The fourth proportional to 3,600.30, 5,400.72 and 967.80 is: 1,451.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,600.30 : 5,400.72 = 967.80 : x
  2. Step 2: Convert to fraction form
    3,600.30/5,400.72 = 967.80/x
  3. Step 3: Cross multiply
    3,600.30x = 5,400.72 × 967.80
  4. Step 4: Simplify right side
    3,600.30x = 5,226,816.82
  5. Step 5: Solve for x
    x = 5,226,816.82/3,600.30
  6. Step 6: Final answer
    x = 1,451.77

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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.