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Finding the Fourth Proportional to 11,832.36, 17,739.18 and 8,123.58

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Solution

The fourth proportional to 11,832.36, 17,739.18 and 8,123.58 is: 12,178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.36 : 17,739.18 = 8,123.58 : x
  2. Step 2: Convert to fraction form
    11,832.36/17,739.18 = 8,123.58/x
  3. Step 3: Cross multiply
    11,832.36x = 17,739.18 × 8,123.58
  4. Step 4: Simplify right side
    11,832.36x = 144,105,647.86
  5. Step 5: Solve for x
    x = 144,105,647.86/11,832.36
  6. Step 6: Final answer
    x = 12,178.94

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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.