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Finding the Fourth Proportional to 11,776.53, 17,647.11 and 10,665.21

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Solution

The fourth proportional to 11,776.53, 17,647.11 and 10,665.21 is: 15,981.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.53 : 17,647.11 = 10,665.21 : x
  2. Step 2: Convert to fraction form
    11,776.53/17,647.11 = 10,665.21/x
  3. Step 3: Cross multiply
    11,776.53x = 17,647.11 × 10,665.21
  4. Step 4: Simplify right side
    11,776.53x = 188,210,134.04
  5. Step 5: Solve for x
    x = 188,210,134.04/11,776.53
  6. Step 6: Final answer
    x = 15,981.80

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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.