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Finding the Fourth Proportional to 8,416.14, 12,624.22 and 8,403.98

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Solution

The fourth proportional to 8,416.14, 12,624.22 and 8,403.98 is: 12,605.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.14 : 12,624.22 = 8,403.98 : x
  2. Step 2: Convert to fraction form
    8,416.14/12,624.22 = 8,403.98/x
  3. Step 3: Cross multiply
    8,416.14x = 12,624.22 × 8,403.98
  4. Step 4: Simplify right side
    8,416.14x = 106,093,692.40
  5. Step 5: Solve for x
    x = 106,093,692.40/8,416.14
  6. Step 6: Final answer
    x = 12,605.98

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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.