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Finding the Fourth Proportional to 6,340.09, 9,511.17 and 1,956.53

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Solution

The fourth proportional to 6,340.09, 9,511.17 and 1,956.53 is: 2,935.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.09 : 9,511.17 = 1,956.53 : x
  2. Step 2: Convert to fraction form
    6,340.09/9,511.17 = 1,956.53/x
  3. Step 3: Cross multiply
    6,340.09x = 9,511.17 × 1,956.53
  4. Step 4: Simplify right side
    6,340.09x = 18,608,832.10
  5. Step 5: Solve for x
    x = 18,608,832.10/6,340.09
  6. Step 6: Final answer
    x = 2,935.11

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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.