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Finding the Fourth Proportional to 5,624.64, 8,416.80 and 3,433.92

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Solution

The fourth proportional to 5,624.64, 8,416.80 and 3,433.92 is: 5,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.64 : 8,416.80 = 3,433.92 : x
  2. Step 2: Convert to fraction form
    5,624.64/8,416.80 = 3,433.92/x
  3. Step 3: Cross multiply
    5,624.64x = 8,416.80 × 3,433.92
  4. Step 4: Simplify right side
    5,624.64x = 28,902,617.86
  5. Step 5: Solve for x
    x = 28,902,617.86/5,624.64
  6. Step 6: Final answer
    x = 5,138.57

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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.