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Finding the Fourth Proportional to 5,115.88, 7,673.58 and 1,829.20

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Solution

The fourth proportional to 5,115.88, 7,673.58 and 1,829.20 is: 2,743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.88 : 7,673.58 = 1,829.20 : x
  2. Step 2: Convert to fraction form
    5,115.88/7,673.58 = 1,829.20/x
  3. Step 3: Cross multiply
    5,115.88x = 7,673.58 × 1,829.20
  4. Step 4: Simplify right side
    5,115.88x = 14,036,512.54
  5. Step 5: Solve for x
    x = 14,036,512.54/5,115.88
  6. Step 6: Final answer
    x = 2,743.71

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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.