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Finding the Fourth Proportional to 6,464.50, 8,921.01 and 3,520.50

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Solution

The fourth proportional to 6,464.50, 8,921.01 and 3,520.50 is: 4,858.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.50 : 8,921.01 = 3,520.50 : x
  2. Step 2: Convert to fraction form
    6,464.50/8,921.01 = 3,520.50/x
  3. Step 3: Cross multiply
    6,464.50x = 8,921.01 × 3,520.50
  4. Step 4: Simplify right side
    6,464.50x = 31,406,415.71
  5. Step 5: Solve for x
    x = 31,406,415.71/6,464.50
  6. Step 6: Final answer
    x = 4,858.29

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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.