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Finding the Fourth Proportional to 11,876.54, 17,807.60 and 8,174.70

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Solution

The fourth proportional to 11,876.54, 17,807.60 and 8,174.70 is: 12,257.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.54 : 17,807.60 = 8,174.70 : x
  2. Step 2: Convert to fraction form
    11,876.54/17,807.60 = 8,174.70/x
  3. Step 3: Cross multiply
    11,876.54x = 17,807.60 × 8,174.70
  4. Step 4: Simplify right side
    11,876.54x = 145,571,808.16
  5. Step 5: Solve for x
    x = 145,571,808.16/11,876.54
  6. Step 6: Final answer
    x = 12,257.09

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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.