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Finding the Fourth Proportional to 8,538.65, 12,774.19 and 6,464.64

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Solution

The fourth proportional to 8,538.65, 12,774.19 and 6,464.64 is: 9,671.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.65 : 12,774.19 = 6,464.64 : x
  2. Step 2: Convert to fraction form
    8,538.65/12,774.19 = 6,464.64/x
  3. Step 3: Cross multiply
    8,538.65x = 12,774.19 × 6,464.64
  4. Step 4: Simplify right side
    8,538.65x = 82,580,539.64
  5. Step 5: Solve for x
    x = 82,580,539.64/8,538.65
  6. Step 6: Final answer
    x = 9,671.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.