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Finding the Fourth Proportional to 6,205.76, 8,562.96 and 3,969.60

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Solution

The fourth proportional to 6,205.76, 8,562.96 and 3,969.60 is: 5,477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.76 : 8,562.96 = 3,969.60 : x
  2. Step 2: Convert to fraction form
    6,205.76/8,562.96 = 3,969.60/x
  3. Step 3: Cross multiply
    6,205.76x = 8,562.96 × 3,969.60
  4. Step 4: Simplify right side
    6,205.76x = 33,991,526.02
  5. Step 5: Solve for x
    x = 33,991,526.02/6,205.76
  6. Step 6: Final answer
    x = 5,477.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.