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Finding the Fourth Proportional to 5,200.50, 7,800.75 and 2,081.91

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Solution

The fourth proportional to 5,200.50, 7,800.75 and 2,081.91 is: 3,122.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.50 : 7,800.75 = 2,081.91 : x
  2. Step 2: Convert to fraction form
    5,200.50/7,800.75 = 2,081.91/x
  3. Step 3: Cross multiply
    5,200.50x = 7,800.75 × 2,081.91
  4. Step 4: Simplify right side
    5,200.50x = 16,240,459.43
  5. Step 5: Solve for x
    x = 16,240,459.43/5,200.50
  6. Step 6: Final answer
    x = 3,122.87

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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.