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Finding the Fourth Proportional to 7,321.30, 10,974.98 and 6,650.08

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Solution

The fourth proportional to 7,321.30, 10,974.98 and 6,650.08 is: 9,968.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.30 : 10,974.98 = 6,650.08 : x
  2. Step 2: Convert to fraction form
    7,321.30/10,974.98 = 6,650.08/x
  3. Step 3: Cross multiply
    7,321.30x = 10,974.98 × 6,650.08
  4. Step 4: Simplify right side
    7,321.30x = 72,984,484.19
  5. Step 5: Solve for x
    x = 72,984,484.19/7,321.30
  6. Step 6: Final answer
    x = 9,968.79

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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.