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Finding the Fourth Proportional to 7,118.64, 9,824.22 and 3,974.94

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Solution

The fourth proportional to 7,118.64, 9,824.22 and 3,974.94 is: 5,485.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.64 : 9,824.22 = 3,974.94 : x
  2. Step 2: Convert to fraction form
    7,118.64/9,824.22 = 3,974.94/x
  3. Step 3: Cross multiply
    7,118.64x = 9,824.22 × 3,974.94
  4. Step 4: Simplify right side
    7,118.64x = 39,050,685.05
  5. Step 5: Solve for x
    x = 39,050,685.05/7,118.64
  6. Step 6: Final answer
    x = 5,485.69

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1.5x scale

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.