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Finding the Fourth Proportional to 7,321.52, 11,039.73 and 6,709.16

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Solution

The fourth proportional to 7,321.52, 11,039.73 and 6,709.16 is: 10,116.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.52 : 11,039.73 = 6,709.16 : x
  2. Step 2: Convert to fraction form
    7,321.52/11,039.73 = 6,709.16/x
  3. Step 3: Cross multiply
    7,321.52x = 11,039.73 × 6,709.16
  4. Step 4: Simplify right side
    7,321.52x = 74,067,259.73
  5. Step 5: Solve for x
    x = 74,067,259.73/7,321.52
  6. Step 6: Final answer
    x = 10,116.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.