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Finding the Fourth Proportional to 7,381.99, 11,078.25 and 4,097.71

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Solution

The fourth proportional to 7,381.99, 11,078.25 and 4,097.71 is: 6,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.99 : 11,078.25 = 4,097.71 : x
  2. Step 2: Convert to fraction form
    7,381.99/11,078.25 = 4,097.71/x
  3. Step 3: Cross multiply
    7,381.99x = 11,078.25 × 4,097.71
  4. Step 4: Simplify right side
    7,381.99x = 45,395,455.81
  5. Step 5: Solve for x
    x = 45,395,455.81/7,381.99
  6. Step 6: Final answer
    x = 6,149.49

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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.