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Finding the Fourth Proportional to 11,778.57, 17,623.08 and 7,259.43

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Solution

The fourth proportional to 11,778.57, 17,623.08 and 7,259.43 is: 10,861.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.57 : 17,623.08 = 7,259.43 : x
  2. Step 2: Convert to fraction form
    11,778.57/17,623.08 = 7,259.43/x
  3. Step 3: Cross multiply
    11,778.57x = 17,623.08 × 7,259.43
  4. Step 4: Simplify right side
    11,778.57x = 127,933,515.64
  5. Step 5: Solve for x
    x = 127,933,515.64/11,778.57
  6. Step 6: Final answer
    x = 10,861.55

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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.