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Finding the Fourth Proportional to 6,874.87, 10,311.70 and 1,944.40

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Solution

The fourth proportional to 6,874.87, 10,311.70 and 1,944.40 is: 2,916.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.87 : 10,311.70 = 1,944.40 : x
  2. Step 2: Convert to fraction form
    6,874.87/10,311.70 = 1,944.40/x
  3. Step 3: Cross multiply
    6,874.87x = 10,311.70 × 1,944.40
  4. Step 4: Simplify right side
    6,874.87x = 20,050,059.76
  5. Step 5: Solve for x
    x = 20,050,059.76/6,874.87
  6. Step 6: Final answer
    x = 2,916.43

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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.