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Finding the Fourth Proportional to 8,686.56, 12,997.48 and 5,178.44

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Solution

The fourth proportional to 8,686.56, 12,997.48 and 5,178.44 is: 7,748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.56 : 12,997.48 = 5,178.44 : x
  2. Step 2: Convert to fraction form
    8,686.56/12,997.48 = 5,178.44/x
  3. Step 3: Cross multiply
    8,686.56x = 12,997.48 × 5,178.44
  4. Step 4: Simplify right side
    8,686.56x = 67,306,670.33
  5. Step 5: Solve for x
    x = 67,306,670.33/8,686.56
  6. Step 6: Final answer
    x = 7,748.37

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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.