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Finding the Fourth Proportional to 4,640.52, 6,960.14 and 1,678.64

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Solution

The fourth proportional to 4,640.52, 6,960.14 and 1,678.64 is: 2,517.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.52 : 6,960.14 = 1,678.64 : x
  2. Step 2: Convert to fraction form
    4,640.52/6,960.14 = 1,678.64/x
  3. Step 3: Cross multiply
    4,640.52x = 6,960.14 × 1,678.64
  4. Step 4: Simplify right side
    4,640.52x = 11,683,569.41
  5. Step 5: Solve for x
    x = 11,683,569.41/4,640.52
  6. Step 6: Final answer
    x = 2,517.73

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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.