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Finding the Fourth Proportional to 11,658.56, 16,105.12 and 8,120

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Solution

The fourth proportional to 11,658.56, 16,105.12 and 8,120 is: 11,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.56 : 16,105.12 = 8,120 : x
  2. Step 2: Convert to fraction form
    11,658.56/16,105.12 = 8,120/x
  3. Step 3: Cross multiply
    11,658.56x = 16,105.12 × 8,120
  4. Step 4: Simplify right side
    11,658.56x = 130,773,574.40
  5. Step 5: Solve for x
    x = 130,773,574.40/11,658.56
  6. Step 6: Final answer
    x = 11,216.96

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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.