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Finding the Fourth Proportional to 7,138.70, 10,708.34 and 1,944.57

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Solution

The fourth proportional to 7,138.70, 10,708.34 and 1,944.57 is: 2,916.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.70 : 10,708.34 = 1,944.57 : x
  2. Step 2: Convert to fraction form
    7,138.70/10,708.34 = 1,944.57/x
  3. Step 3: Cross multiply
    7,138.70x = 10,708.34 × 1,944.57
  4. Step 4: Simplify right side
    7,138.70x = 20,823,106.99
  5. Step 5: Solve for x
    x = 20,823,106.99/7,138.70
  6. Step 6: Final answer
    x = 2,916.93

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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.