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Finding the Fourth Proportional to 11,857.12, 17,776.08 and 4,936.80

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Solution

The fourth proportional to 11,857.12, 17,776.08 and 4,936.80 is: 7,401.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.12 : 17,776.08 = 4,936.80 : x
  2. Step 2: Convert to fraction form
    11,857.12/17,776.08 = 4,936.80/x
  3. Step 3: Cross multiply
    11,857.12x = 17,776.08 × 4,936.80
  4. Step 4: Simplify right side
    11,857.12x = 87,756,951.74
  5. Step 5: Solve for x
    x = 87,756,951.74/11,857.12
  6. Step 6: Final answer
    x = 7,401.20

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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.