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Finding the Fourth Proportional to 8,586.06, 12,871.77 and 8,338.20

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Solution

The fourth proportional to 8,586.06, 12,871.77 and 8,338.20 is: 12,500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.06 : 12,871.77 = 8,338.20 : x
  2. Step 2: Convert to fraction form
    8,586.06/12,871.77 = 8,338.20/x
  3. Step 3: Cross multiply
    8,586.06x = 12,871.77 × 8,338.20
  4. Step 4: Simplify right side
    8,586.06x = 107,327,392.61
  5. Step 5: Solve for x
    x = 107,327,392.61/8,586.06
  6. Step 6: Final answer
    x = 12,500.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.