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Finding the Fourth Proportional to 9,150, 12,628.08 and 6,361.44

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Solution

The fourth proportional to 9,150, 12,628.08 and 6,361.44 is: 8,779.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150 : 12,628.08 = 6,361.44 : x
  2. Step 2: Convert to fraction form
    9,150/12,628.08 = 6,361.44/x
  3. Step 3: Cross multiply
    9,150x = 12,628.08 × 6,361.44
  4. Step 4: Simplify right side
    9,150x = 80,332,773.24
  5. Step 5: Solve for x
    x = 80,332,773.24/9,150
  6. Step 6: Final answer
    x = 8,779.54

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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.