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Finding the Fourth Proportional to 3,658.80, 5,477.40 and 3,226.80

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Solution

The fourth proportional to 3,658.80, 5,477.40 and 3,226.80 is: 4,830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.80 : 5,477.40 = 3,226.80 : x
  2. Step 2: Convert to fraction form
    3,658.80/5,477.40 = 3,226.80/x
  3. Step 3: Cross multiply
    3,658.80x = 5,477.40 × 3,226.80
  4. Step 4: Simplify right side
    3,658.80x = 17,674,474.32
  5. Step 5: Solve for x
    x = 17,674,474.32/3,658.80
  6. Step 6: Final answer
    x = 4,830.68

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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.