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Finding the Fourth Proportional to 5,174.45, 7,746.71 and 4,640.31

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Solution

The fourth proportional to 5,174.45, 7,746.71 and 4,640.31 is: 6,947.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.45 : 7,746.71 = 4,640.31 : x
  2. Step 2: Convert to fraction form
    5,174.45/7,746.71 = 4,640.31/x
  3. Step 3: Cross multiply
    5,174.45x = 7,746.71 × 4,640.31
  4. Step 4: Simplify right side
    5,174.45x = 35,947,135.88
  5. Step 5: Solve for x
    x = 35,947,135.88/5,174.45
  6. Step 6: Final answer
    x = 6,947.04

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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.