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Finding the Fourth Proportional to 6,464.62, 9,690.76 and 2,079

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Solution

The fourth proportional to 6,464.62, 9,690.76 and 2,079 is: 3,116.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.62 : 9,690.76 = 2,079 : x
  2. Step 2: Convert to fraction form
    6,464.62/9,690.76 = 2,079/x
  3. Step 3: Cross multiply
    6,464.62x = 9,690.76 × 2,079
  4. Step 4: Simplify right side
    6,464.62x = 20,147,090.04
  5. Step 5: Solve for x
    x = 20,147,090.04/6,464.62
  6. Step 6: Final answer
    x = 3,116.52

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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.