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Finding the Fourth Proportional to 5,200.35, 7,800.53 and 2,608.35

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Solution

The fourth proportional to 5,200.35, 7,800.53 and 2,608.35 is: 3,912.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.35 : 7,800.53 = 2,608.35 : x
  2. Step 2: Convert to fraction form
    5,200.35/7,800.53 = 2,608.35/x
  3. Step 3: Cross multiply
    5,200.35x = 7,800.53 × 2,608.35
  4. Step 4: Simplify right side
    5,200.35x = 20,346,499.38
  5. Step 5: Solve for x
    x = 20,346,499.38/5,200.35
  6. Step 6: Final answer
    x = 3,912.53

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Similar ratio
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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.