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Finding the Fourth Proportional to 6,483.96, 9,721.68 and 3,199.20

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Solution

The fourth proportional to 6,483.96, 9,721.68 and 3,199.20 is: 4,796.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.96 : 9,721.68 = 3,199.20 : x
  2. Step 2: Convert to fraction form
    6,483.96/9,721.68 = 3,199.20/x
  3. Step 3: Cross multiply
    6,483.96x = 9,721.68 × 3,199.20
  4. Step 4: Simplify right side
    6,483.96x = 31,101,598.66
  5. Step 5: Solve for x
    x = 31,101,598.66/6,483.96
  6. Step 6: Final answer
    x = 4,796.70

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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.