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Finding the Fourth Proportional to 7,382.81, 11,079.21 and 5,538.44

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Solution

The fourth proportional to 7,382.81, 11,079.21 and 5,538.44 is: 8,311.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.81 : 11,079.21 = 5,538.44 : x
  2. Step 2: Convert to fraction form
    7,382.81/11,079.21 = 5,538.44/x
  3. Step 3: Cross multiply
    7,382.81x = 11,079.21 × 5,538.44
  4. Step 4: Simplify right side
    7,382.81x = 61,361,539.83
  5. Step 5: Solve for x
    x = 61,361,539.83/7,382.81
  6. Step 6: Final answer
    x = 8,311.41

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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.