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Finding the Fourth Proportional to 3,946.93, 5,446.47 and 2,178.53

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Solution

The fourth proportional to 3,946.93, 5,446.47 and 2,178.53 is: 3,006.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.93 : 5,446.47 = 2,178.53 : x
  2. Step 2: Convert to fraction form
    3,946.93/5,446.47 = 2,178.53/x
  3. Step 3: Cross multiply
    3,946.93x = 5,446.47 × 2,178.53
  4. Step 4: Simplify right side
    3,946.93x = 11,865,299.65
  5. Step 5: Solve for x
    x = 11,865,299.65/3,946.93
  6. Step 6: Final answer
    x = 3,006.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.