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Finding the Fourth Proportional to 6,354.82, 8,769.64 and 3,870.82

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Solution

The fourth proportional to 6,354.82, 8,769.64 and 3,870.82 is: 5,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.82 : 8,769.64 = 3,870.82 : x
  2. Step 2: Convert to fraction form
    6,354.82/8,769.64 = 3,870.82/x
  3. Step 3: Cross multiply
    6,354.82x = 8,769.64 × 3,870.82
  4. Step 4: Simplify right side
    6,354.82x = 33,945,697.90
  5. Step 5: Solve for x
    x = 33,945,697.90/6,354.82
  6. Step 6: Final answer
    x = 5,341.72

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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.