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Finding the Fourth Proportional to 6,651.81, 9,977.72 and 3,188.25

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Solution

The fourth proportional to 6,651.81, 9,977.72 and 3,188.25 is: 4,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.81 : 9,977.72 = 3,188.25 : x
  2. Step 2: Convert to fraction form
    6,651.81/9,977.72 = 3,188.25/x
  3. Step 3: Cross multiply
    6,651.81x = 9,977.72 × 3,188.25
  4. Step 4: Simplify right side
    6,651.81x = 31,811,449.85
  5. Step 5: Solve for x
    x = 31,811,449.85/6,651.81
  6. Step 6: Final answer
    x = 4,782.38

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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.