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Finding the Fourth Proportional to 3,523.92, 5,285.90 and 926.80

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Solution

The fourth proportional to 3,523.92, 5,285.90 and 926.80 is: 1,390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.92 : 5,285.90 = 926.80 : x
  2. Step 2: Convert to fraction form
    3,523.92/5,285.90 = 926.80/x
  3. Step 3: Cross multiply
    3,523.92x = 5,285.90 × 926.80
  4. Step 4: Simplify right side
    3,523.92x = 4,898,972.12
  5. Step 5: Solve for x
    x = 4,898,972.12/3,523.92
  6. Step 6: Final answer
    x = 1,390.21

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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.