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Finding the Fourth Proportional to 12,652.72, 17,457.34 and 8,174.85

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Solution

The fourth proportional to 12,652.72, 17,457.34 and 8,174.85 is: 11,279.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.72 : 17,457.34 = 8,174.85 : x
  2. Step 2: Convert to fraction form
    12,652.72/17,457.34 = 8,174.85/x
  3. Step 3: Cross multiply
    12,652.72x = 17,457.34 × 8,174.85
  4. Step 4: Simplify right side
    12,652.72x = 142,711,135.90
  5. Step 5: Solve for x
    x = 142,711,135.90/12,652.72
  6. Step 6: Final answer
    x = 11,279.09

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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.