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Finding the Fourth Proportional to 3,849.76, 5,776.02 and 1,252.70

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Solution

The fourth proportional to 3,849.76, 5,776.02 and 1,252.70 is: 1,879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.76 : 5,776.02 = 1,252.70 : x
  2. Step 2: Convert to fraction form
    3,849.76/5,776.02 = 1,252.70/x
  3. Step 3: Cross multiply
    3,849.76x = 5,776.02 × 1,252.70
  4. Step 4: Simplify right side
    3,849.76x = 7,235,620.25
  5. Step 5: Solve for x
    x = 7,235,620.25/3,849.76
  6. Step 6: Final answer
    x = 1,879.50

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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.