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Finding the Fourth Proportional to 7,321.50, 10,103.67 and 4,009.50

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Solution

The fourth proportional to 7,321.50, 10,103.67 and 4,009.50 is: 5,533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.50 : 10,103.67 = 4,009.50 : x
  2. Step 2: Convert to fraction form
    7,321.50/10,103.67 = 4,009.50/x
  3. Step 3: Cross multiply
    7,321.50x = 10,103.67 × 4,009.50
  4. Step 4: Simplify right side
    7,321.50x = 40,510,664.87
  5. Step 5: Solve for x
    x = 40,510,664.87/7,321.50
  6. Step 6: Final answer
    x = 5,533.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.