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Finding the Fourth Proportional to 6,504.78, 8,976.60 and 3,710.28

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Solution

The fourth proportional to 6,504.78, 8,976.60 and 3,710.28 is: 5,120.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.78 : 8,976.60 = 3,710.28 : x
  2. Step 2: Convert to fraction form
    6,504.78/8,976.60 = 3,710.28/x
  3. Step 3: Cross multiply
    6,504.78x = 8,976.60 × 3,710.28
  4. Step 4: Simplify right side
    6,504.78x = 33,305,699.45
  5. Step 5: Solve for x
    x = 33,305,699.45/6,504.78
  6. Step 6: Final answer
    x = 5,120.19

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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.