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Finding the Fourth Proportional to 5,200.40, 7,795.80 and 1,911.68

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Solution

The fourth proportional to 5,200.40, 7,795.80 and 1,911.68 is: 2,865.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.40 : 7,795.80 = 1,911.68 : x
  2. Step 2: Convert to fraction form
    5,200.40/7,795.80 = 1,911.68/x
  3. Step 3: Cross multiply
    5,200.40x = 7,795.80 × 1,911.68
  4. Step 4: Simplify right side
    5,200.40x = 14,903,074.94
  5. Step 5: Solve for x
    x = 14,903,074.94/5,200.40
  6. Step 6: Final answer
    x = 2,865.76

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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.