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Finding the Fourth Proportional to 4,640.82, 6,961.26 and 1,178.08

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Solution

The fourth proportional to 4,640.82, 6,961.26 and 1,178.08 is: 1,767.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.82 : 6,961.26 = 1,178.08 : x
  2. Step 2: Convert to fraction form
    4,640.82/6,961.26 = 1,178.08/x
  3. Step 3: Cross multiply
    4,640.82x = 6,961.26 × 1,178.08
  4. Step 4: Simplify right side
    4,640.82x = 8,200,921.18
  5. Step 5: Solve for x
    x = 8,200,921.18/4,640.82
  6. Step 6: Final answer
    x = 1,767.13

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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.