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Finding the Fourth Proportional to 9,786.42, 14,645.61 and 8,010.90

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Solution

The fourth proportional to 9,786.42, 14,645.61 and 8,010.90 is: 11,988.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.42 : 14,645.61 = 8,010.90 : x
  2. Step 2: Convert to fraction form
    9,786.42/14,645.61 = 8,010.90/x
  3. Step 3: Cross multiply
    9,786.42x = 14,645.61 × 8,010.90
  4. Step 4: Simplify right side
    9,786.42x = 117,324,517.15
  5. Step 5: Solve for x
    x = 117,324,517.15/9,786.42
  6. Step 6: Final answer
    x = 11,988.50

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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.