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Finding the Fourth Proportional to 6,443.40, 9,665.76 and 2,061

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Solution

The fourth proportional to 6,443.40, 9,665.76 and 2,061 is: 3,091.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.40 : 9,665.76 = 2,061 : x
  2. Step 2: Convert to fraction form
    6,443.40/9,665.76 = 2,061/x
  3. Step 3: Cross multiply
    6,443.40x = 9,665.76 × 2,061
  4. Step 4: Simplify right side
    6,443.40x = 19,921,131.36
  5. Step 5: Solve for x
    x = 19,921,131.36/6,443.40
  6. Step 6: Final answer
    x = 3,091.71

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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.