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Finding the Fourth Proportional to 7,324.68, 10,982.79 and 6,448.94

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Solution

The fourth proportional to 7,324.68, 10,982.79 and 6,448.94 is: 9,669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324.68 : 10,982.79 = 6,448.94 : x
  2. Step 2: Convert to fraction form
    7,324.68/10,982.79 = 6,448.94/x
  3. Step 3: Cross multiply
    7,324.68x = 10,982.79 × 6,448.94
  4. Step 4: Simplify right side
    7,324.68x = 70,827,370.90
  5. Step 5: Solve for x
    x = 70,827,370.90/7,324.68
  6. Step 6: Final answer
    x = 9,669.69

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1.5x scale

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.