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Finding the Fourth Proportional to 3,525.80, 5,288.49 and 928.67

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Solution

The fourth proportional to 3,525.80, 5,288.49 and 928.67 is: 1,392.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.80 : 5,288.49 = 928.67 : x
  2. Step 2: Convert to fraction form
    3,525.80/5,288.49 = 928.67/x
  3. Step 3: Cross multiply
    3,525.80x = 5,288.49 × 928.67
  4. Step 4: Simplify right side
    3,525.80x = 4,911,235.57
  5. Step 5: Solve for x
    x = 4,911,235.57/3,525.80
  6. Step 6: Final answer
    x = 1,392.94

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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.