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Finding the Fourth Proportional to 5,049, 7,568.46 and 2,128.92

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Solution

The fourth proportional to 5,049, 7,568.46 and 2,128.92 is: 3,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049 : 7,568.46 = 2,128.92 : x
  2. Step 2: Convert to fraction form
    5,049/7,568.46 = 2,128.92/x
  3. Step 3: Cross multiply
    5,049x = 7,568.46 × 2,128.92
  4. Step 4: Simplify right side
    5,049x = 16,112,645.86
  5. Step 5: Solve for x
    x = 16,112,645.86/5,049
  6. Step 6: Final answer
    x = 3,191.25

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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.