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Finding the Fourth Proportional to 3,525.50, 5,288.56 and 928.44

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Solution

The fourth proportional to 3,525.50, 5,288.56 and 928.44 is: 1,392.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.50 : 5,288.56 = 928.44 : x
  2. Step 2: Convert to fraction form
    3,525.50/5,288.56 = 928.44/x
  3. Step 3: Cross multiply
    3,525.50x = 5,288.56 × 928.44
  4. Step 4: Simplify right side
    3,525.50x = 4,910,110.65
  5. Step 5: Solve for x
    x = 4,910,110.65/3,525.50
  6. Step 6: Final answer
    x = 1,392.74

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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.