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Finding the Fourth Proportional to 5,251.95, 7,879.14 and 1,789.20

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Solution

The fourth proportional to 5,251.95, 7,879.14 and 1,789.20 is: 2,684.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.95 : 7,879.14 = 1,789.20 : x
  2. Step 2: Convert to fraction form
    5,251.95/7,879.14 = 1,789.20/x
  3. Step 3: Cross multiply
    5,251.95x = 7,879.14 × 1,789.20
  4. Step 4: Simplify right side
    5,251.95x = 14,097,357.29
  5. Step 5: Solve for x
    x = 14,097,357.29/5,251.95
  6. Step 6: Final answer
    x = 2,684.21

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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.