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Finding the Fourth Proportional to 6,443.31, 9,664.97 and 2,980.11

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Solution

The fourth proportional to 6,443.31, 9,664.97 and 2,980.11 is: 4,470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.31 : 9,664.97 = 2,980.11 : x
  2. Step 2: Convert to fraction form
    6,443.31/9,664.97 = 2,980.11/x
  3. Step 3: Cross multiply
    6,443.31x = 9,664.97 × 2,980.11
  4. Step 4: Simplify right side
    6,443.31x = 28,802,658.85
  5. Step 5: Solve for x
    x = 28,802,658.85/6,443.31
  6. Step 6: Final answer
    x = 4,470.17

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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.