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Finding the Fourth Proportional to 11,765.99, 16,235.70 and 6,984.20

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Solution

The fourth proportional to 11,765.99, 16,235.70 and 6,984.20 is: 9,637.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.99 : 16,235.70 = 6,984.20 : x
  2. Step 2: Convert to fraction form
    11,765.99/16,235.70 = 6,984.20/x
  3. Step 3: Cross multiply
    11,765.99x = 16,235.70 × 6,984.20
  4. Step 4: Simplify right side
    11,765.99x = 113,393,375.94
  5. Step 5: Solve for x
    x = 113,393,375.94/11,765.99
  6. Step 6: Final answer
    x = 9,637.39

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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.