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Finding the Fourth Proportional to 9,884.88, 13,638.96 and 5,905.44

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Solution

The fourth proportional to 9,884.88, 13,638.96 and 5,905.44 is: 8,148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.88 : 13,638.96 = 5,905.44 : x
  2. Step 2: Convert to fraction form
    9,884.88/13,638.96 = 5,905.44/x
  3. Step 3: Cross multiply
    9,884.88x = 13,638.96 × 5,905.44
  4. Step 4: Simplify right side
    9,884.88x = 80,544,059.94
  5. Step 5: Solve for x
    x = 80,544,059.94/9,884.88
  6. Step 6: Final answer
    x = 8,148.21

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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.