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Finding the Fourth Proportional to 6,451.16, 9,678 and 2,068.28

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Solution

The fourth proportional to 6,451.16, 9,678 and 2,068.28 is: 3,102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.16 : 9,678 = 2,068.28 : x
  2. Step 2: Convert to fraction form
    6,451.16/9,678 = 2,068.28/x
  3. Step 3: Cross multiply
    6,451.16x = 9,678 × 2,068.28
  4. Step 4: Simplify right side
    6,451.16x = 20,016,813.84
  5. Step 5: Solve for x
    x = 20,016,813.84/6,451.16
  6. Step 6: Final answer
    x = 3,102.82

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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.