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Finding the Fourth Proportional to 7,139.87, 10,709.80 and 1,946.51

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Solution

The fourth proportional to 7,139.87, 10,709.80 and 1,946.51 is: 2,919.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.87 : 10,709.80 = 1,946.51 : x
  2. Step 2: Convert to fraction form
    7,139.87/10,709.80 = 1,946.51/x
  3. Step 3: Cross multiply
    7,139.87x = 10,709.80 × 1,946.51
  4. Step 4: Simplify right side
    7,139.87x = 20,846,674.38
  5. Step 5: Solve for x
    x = 20,846,674.38/7,139.87
  6. Step 6: Final answer
    x = 2,919.76

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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.