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Finding the Fourth Proportional to 8,464.75, 11,678.65 and 5,482.87

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Solution

The fourth proportional to 8,464.75, 11,678.65 and 5,482.87 is: 7,564.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.75 : 11,678.65 = 5,482.87 : x
  2. Step 2: Convert to fraction form
    8,464.75/11,678.65 = 5,482.87/x
  3. Step 3: Cross multiply
    8,464.75x = 11,678.65 × 5,482.87
  4. Step 4: Simplify right side
    8,464.75x = 64,032,519.73
  5. Step 5: Solve for x
    x = 64,032,519.73/8,464.75
  6. Step 6: Final answer
    x = 7,564.61

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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.