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Finding the Fourth Proportional to 4,640.70, 6,952.95 and 3,865.68

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Solution

The fourth proportional to 4,640.70, 6,952.95 and 3,865.68 is: 5,791.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.70 : 6,952.95 = 3,865.68 : x
  2. Step 2: Convert to fraction form
    4,640.70/6,952.95 = 3,865.68/x
  3. Step 3: Cross multiply
    4,640.70x = 6,952.95 × 3,865.68
  4. Step 4: Simplify right side
    4,640.70x = 26,877,879.76
  5. Step 5: Solve for x
    x = 26,877,879.76/4,640.70
  6. Step 6: Final answer
    x = 5,791.77

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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.