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Finding the Fourth Proportional to 6,440.82, 9,664.50 and 2,980.50

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Solution

The fourth proportional to 6,440.82, 9,664.50 and 2,980.50 is: 4,472.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.82 : 9,664.50 = 2,980.50 : x
  2. Step 2: Convert to fraction form
    6,440.82/9,664.50 = 2,980.50/x
  3. Step 3: Cross multiply
    6,440.82x = 9,664.50 × 2,980.50
  4. Step 4: Simplify right side
    6,440.82x = 28,805,042.25
  5. Step 5: Solve for x
    x = 28,805,042.25/6,440.82
  6. Step 6: Final answer
    x = 4,472.26

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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.