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Finding the Fourth Proportional to 5,617.60, 8,429.10 and 4,300.90

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Solution

The fourth proportional to 5,617.60, 8,429.10 and 4,300.90 is: 6,453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.60 : 8,429.10 = 4,300.90 : x
  2. Step 2: Convert to fraction form
    5,617.60/8,429.10 = 4,300.90/x
  3. Step 3: Cross multiply
    5,617.60x = 8,429.10 × 4,300.90
  4. Step 4: Simplify right side
    5,617.60x = 36,252,716.19
  5. Step 5: Solve for x
    x = 36,252,716.19/5,617.60
  6. Step 6: Final answer
    x = 6,453.42

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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.