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Finding the Fourth Proportional to 11,720.56, 16,174.56 and 8,369.07

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Solution

The fourth proportional to 11,720.56, 16,174.56 and 8,369.07 is: 11,549.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.56 : 16,174.56 = 8,369.07 : x
  2. Step 2: Convert to fraction form
    11,720.56/16,174.56 = 8,369.07/x
  3. Step 3: Cross multiply
    11,720.56x = 16,174.56 × 8,369.07
  4. Step 4: Simplify right side
    11,720.56x = 135,366,024.86
  5. Step 5: Solve for x
    x = 135,366,024.86/11,720.56
  6. Step 6: Final answer
    x = 11,549.45

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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.