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Finding the Fourth Proportional to 3,840.80, 5,758.16 and 3,533.28

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Solution

The fourth proportional to 3,840.80, 5,758.16 and 3,533.28 is: 5,297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.80 : 5,758.16 = 3,533.28 : x
  2. Step 2: Convert to fraction form
    3,840.80/5,758.16 = 3,533.28/x
  3. Step 3: Cross multiply
    3,840.80x = 5,758.16 × 3,533.28
  4. Step 4: Simplify right side
    3,840.80x = 20,345,191.56
  5. Step 5: Solve for x
    x = 20,345,191.56/3,840.80
  6. Step 6: Final answer
    x = 5,297.12

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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.