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Finding the Fourth Proportional to 5,109.87, 7,662.63 and 1,946.77

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Solution

The fourth proportional to 5,109.87, 7,662.63 and 1,946.77 is: 2,919.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.87 : 7,662.63 = 1,946.77 : x
  2. Step 2: Convert to fraction form
    5,109.87/7,662.63 = 1,946.77/x
  3. Step 3: Cross multiply
    5,109.87x = 7,662.63 × 1,946.77
  4. Step 4: Simplify right side
    5,109.87x = 14,917,378.21
  5. Step 5: Solve for x
    x = 14,917,378.21/5,109.87
  6. Step 6: Final answer
    x = 2,919.33

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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.