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Finding the Fourth Proportional to 6,463.62, 9,689.26 and 2,078

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Solution

The fourth proportional to 6,463.62, 9,689.26 and 2,078 is: 3,115.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.62 : 9,689.26 = 2,078 : x
  2. Step 2: Convert to fraction form
    6,463.62/9,689.26 = 2,078/x
  3. Step 3: Cross multiply
    6,463.62x = 9,689.26 × 2,078
  4. Step 4: Simplify right side
    6,463.62x = 20,134,282.28
  5. Step 5: Solve for x
    x = 20,134,282.28/6,463.62
  6. Step 6: Final answer
    x = 3,115.02

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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.