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Finding the Fourth Proportional to 8,334.90, 12,505.59 and 8,209.76

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Solution

The fourth proportional to 8,334.90, 12,505.59 and 8,209.76 is: 12,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,334.90 : 12,505.59 = 8,209.76 : x
  2. Step 2: Convert to fraction form
    8,334.90/12,505.59 = 8,209.76/x
  3. Step 3: Cross multiply
    8,334.90x = 12,505.59 × 8,209.76
  4. Step 4: Simplify right side
    8,334.90x = 102,667,830.03
  5. Step 5: Solve for x
    x = 102,667,830.03/8,334.90
  6. Step 6: Final answer
    x = 12,317.82

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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.