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Finding the Fourth Proportional to 9,102.80, 13,650.60 and 3,256.40

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Solution

The fourth proportional to 9,102.80, 13,650.60 and 3,256.40 is: 4,883.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.80 : 13,650.60 = 3,256.40 : x
  2. Step 2: Convert to fraction form
    9,102.80/13,650.60 = 3,256.40/x
  3. Step 3: Cross multiply
    9,102.80x = 13,650.60 × 3,256.40
  4. Step 4: Simplify right side
    9,102.80x = 44,451,813.84
  5. Step 5: Solve for x
    x = 44,451,813.84/9,102.80
  6. Step 6: Final answer
    x = 4,883.31

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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.