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Finding the Fourth Proportional to 9,789.84, 13,503.24 and 8,170.25

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Solution

The fourth proportional to 9,789.84, 13,503.24 and 8,170.25 is: 11,269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.84 : 13,503.24 = 8,170.25 : x
  2. Step 2: Convert to fraction form
    9,789.84/13,503.24 = 8,170.25/x
  3. Step 3: Cross multiply
    9,789.84x = 13,503.24 × 8,170.25
  4. Step 4: Simplify right side
    9,789.84x = 110,324,779.09
  5. Step 5: Solve for x
    x = 110,324,779.09/9,789.84
  6. Step 6: Final answer
    x = 11,269.31

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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.