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Finding the Fourth Proportional to 7,318.09, 10,978.49 and 2,320.25

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Solution

The fourth proportional to 7,318.09, 10,978.49 and 2,320.25 is: 3,480.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,318.09 : 10,978.49 = 2,320.25 : x
  2. Step 2: Convert to fraction form
    7,318.09/10,978.49 = 2,320.25/x
  3. Step 3: Cross multiply
    7,318.09x = 10,978.49 × 2,320.25
  4. Step 4: Simplify right side
    7,318.09x = 25,472,874.67
  5. Step 5: Solve for x
    x = 25,472,874.67/7,318.09
  6. Step 6: Final answer
    x = 3,480.81

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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.