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Finding the Fourth Proportional to 8,416.57, 12,624.39 and 2,572.72

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Solution

The fourth proportional to 8,416.57, 12,624.39 and 2,572.72 is: 3,858.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.57 : 12,624.39 = 2,572.72 : x
  2. Step 2: Convert to fraction form
    8,416.57/12,624.39 = 2,572.72/x
  3. Step 3: Cross multiply
    8,416.57x = 12,624.39 × 2,572.72
  4. Step 4: Simplify right side
    8,416.57x = 32,479,020.64
  5. Step 5: Solve for x
    x = 32,479,020.64/8,416.57
  6. Step 6: Final answer
    x = 3,858.94

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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.