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Finding the Fourth Proportional to 6,412.35, 8,850.48 and 3,580.74

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Solution

The fourth proportional to 6,412.35, 8,850.48 and 3,580.74 is: 4,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.35 : 8,850.48 = 3,580.74 : x
  2. Step 2: Convert to fraction form
    6,412.35/8,850.48 = 3,580.74/x
  3. Step 3: Cross multiply
    6,412.35x = 8,850.48 × 3,580.74
  4. Step 4: Simplify right side
    6,412.35x = 31,691,267.76
  5. Step 5: Solve for x
    x = 31,691,267.76/6,412.35
  6. Step 6: Final answer
    x = 4,942.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.