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Finding the Fourth Proportional to 11,765, 17,652.10 and 5,186.56

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Solution

The fourth proportional to 11,765, 17,652.10 and 5,186.56 is: 7,781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765 : 17,652.10 = 5,186.56 : x
  2. Step 2: Convert to fraction form
    11,765/17,652.10 = 5,186.56/x
  3. Step 3: Cross multiply
    11,765x = 17,652.10 × 5,186.56
  4. Step 4: Simplify right side
    11,765x = 91,553,675.78
  5. Step 5: Solve for x
    x = 91,553,675.78/11,765
  6. Step 6: Final answer
    x = 7,781.87

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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.