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Finding the Fourth Proportional to 6,495.68, 9,721.64 and 3,900.44

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Solution

The fourth proportional to 6,495.68, 9,721.64 and 3,900.44 is: 5,837.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.68 : 9,721.64 = 3,900.44 : x
  2. Step 2: Convert to fraction form
    6,495.68/9,721.64 = 3,900.44/x
  3. Step 3: Cross multiply
    6,495.68x = 9,721.64 × 3,900.44
  4. Step 4: Simplify right side
    6,495.68x = 37,918,605.41
  5. Step 5: Solve for x
    x = 37,918,605.41/6,495.68
  6. Step 6: Final answer
    x = 5,837.52

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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.