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Finding the Fourth Proportional to 7,284.60, 10,049.40 and 5,486.40

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Solution

The fourth proportional to 7,284.60, 10,049.40 and 5,486.40 is: 7,568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.60 : 10,049.40 = 5,486.40 : x
  2. Step 2: Convert to fraction form
    7,284.60/10,049.40 = 5,486.40/x
  3. Step 3: Cross multiply
    7,284.60x = 10,049.40 × 5,486.40
  4. Step 4: Simplify right side
    7,284.60x = 55,135,028.16
  5. Step 5: Solve for x
    x = 55,135,028.16/7,284.60
  6. Step 6: Final answer
    x = 7,568.71

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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.