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Finding the Fourth Proportional to 6,340.06, 9,511.12 and 1,956.50

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Solution

The fourth proportional to 6,340.06, 9,511.12 and 1,956.50 is: 2,935.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.06 : 9,511.12 = 1,956.50 : x
  2. Step 2: Convert to fraction form
    6,340.06/9,511.12 = 1,956.50/x
  3. Step 3: Cross multiply
    6,340.06x = 9,511.12 × 1,956.50
  4. Step 4: Simplify right side
    6,340.06x = 18,608,506.28
  5. Step 5: Solve for x
    x = 18,608,506.28/6,340.06
  6. Step 6: Final answer
    x = 2,935.07

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1.5x scale

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.