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Finding the Fourth Proportional to 8,538.10, 12,773.46 and 6,464.14

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Solution

The fourth proportional to 8,538.10, 12,773.46 and 6,464.14 is: 9,670.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.10 : 12,773.46 = 6,464.14 : x
  2. Step 2: Convert to fraction form
    8,538.10/12,773.46 = 6,464.14/x
  3. Step 3: Cross multiply
    8,538.10x = 12,773.46 × 6,464.14
  4. Step 4: Simplify right side
    8,538.10x = 82,569,433.72
  5. Step 5: Solve for x
    x = 82,569,433.72/8,538.10
  6. Step 6: Final answer
    x = 9,670.70

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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.